Is there a way to have a matrix as an exponent?

Is there a way to have a matrix as an exponent?
by

1 Answer

Answer :

There is a matrix exponential.
by

Related questions

Why does any number raised to an exponent of zero equal 1?

Description : Why does any number raised to an exponent of zero equal 1?

Last Answer : answer:I can't remember the math proving it, but I sort of remember when I questioned it myself when doing A-levels maths that I realised that it equals the number being divided by itself, which is ... negative numbers, so please let me know as I do not have any proper calculator to do this with.

Is there a way to factor a matrix into two matrices with this special property? (see details)

Description : Is there a way to factor a matrix into two matrices with this special property? (see details)

Last Answer : My gut feeling is that this cannot be done. If it could, it would be such an extraordinary result that I am sure that I would have heard of it. I would think that in general integer matrices can not be factored as the product of integer matrices.

A matrix question on the Gaussian elimination method?

Description : A matrix question on the Gaussian elimination method?

Last Answer : answer:Are you having trouble setting up the equations? They seem fairly straightforward. The first sentence gives us x + y + z = 110,000. Then .09x + .08y + .13z= 10,435, and finally x + y - 3z = ... got this far, show the work you did for the solution, and I can check to see where you went wrong.

Math geeks: How do i do eigenvalue decomposition of a scalar matrix?

Description : Math geeks: How do i do eigenvalue decomposition of a scalar matrix?

Last Answer : answer:Your information isn't quite accurate. Finding eigenvalues of scalar matrices is pretty much the easiest thing in the world: they are the scalar value with multiplicity n (where n is the size of the matrix) ... help. I used to teach this, and really love linear algebra. This is fun for me. :)

Is there is quicker way to find the solutions to cos(x) = - cos(3x)?

Description : Is there is quicker way to find the solutions to cos(x) = - cos(3x)?

Last Answer : answer:3x = pi – x + 2npi or 3x = pi + x + 2npi x = (2n+1)pi/4 or x=(2n+1)pi/2

What's the most efficient way of locating someone based off knowing their location relative to someone else?

Description : What's the most efficient way of locating someone based off knowing their location relative to someone else?

Last Answer : A simplified version of having 3 people and you know the distance of A and B and know C only in terms of closer or further away from A and B, would also be interesting to know if only having 2 people is too difficult.

Is there any way to manipulate a sine function such that the amplitude when it is positive is larger than when it is negative?

Description : Is there any way to manipulate a sine function such that the amplitude when it is positive is larger than when it is negative?

Last Answer : Herp derp. I think I have an effective solution. Not quite what I was looking for, but. Just a slight vertical shift upwards. More of the wave will then lie above the x axis. If anyone has something better, do chime in!

Is there a way to reconstruct a rectangular prism with this information?

Description : Is there a way to reconstruct a rectangular prism with this information?

Last Answer : Sure. In a system of equations, you need at least as many equations as you have variables in order to determine values for all variables. Since you have 3 variables and 3 equations, you should be able to get values for (a,b,c).

Is there a way to order the letters A, B, and C so that every possible trigraph appears once? (see details)

Description : Is there a way to order the letters A, B, and C so that every possible trigraph appears once? (see details)

Last Answer : answer:http://www.wolframscience.com/ This might help you.

Is there a mathematical way to work out uncertainty of something when that uncertainty has uncertainty and so on?

Description : Is there a mathematical way to work out uncertainty of something when that uncertainty has uncertainty and so on?

Last Answer : Statistics and the bell curve measuring standard deviation.

1+1=2. This is a true statement. Is there any logical way of making it false?

Description : 1+1=2. This is a true statement. Is there any logical way of making it false?

Last Answer : Er…ho hum? Two is one number, not two ones, so those two ones don’t add up unless they merge together like some creepy reversed Siamese plant monster.

Mr. Sharma decided to walk down the escalator of a tube station. He found that if he walks down 26 steps, he requires 30 seconds to reach the bottom. However, if he steps down 34 stairs he would only require 18 seconds to get to the bottom. If the time is measured from the moment the top step begins to descend to the time he steps off the last step at the bottom, find out the height of the stair way in steps?

Description : Mr. Sharma decided to walk down the escalator of a tube station. He found that if he walks down 26 steps, he requires 30 seconds to reach the bottom. However, if he steps down 34 stairs he would only ... time he steps off the last step at the bottom, find out the height of the stair way in steps?

Last Answer : Answer: 46 steps.

Is it possible to solve a magic square made up of a system of unknown symbols?

Description : Is it possible to solve a magic square made up of a system of unknown symbols?

Last Answer : No. I could populate a 9×9 magic square with the letters A through I. You would never figure out what numbers were represented by the letters because a 9×9 magic square is not unique.

Did we invent math,or did we discover it?

Description : Did we invent math,or did we discover it?

Last Answer : God invented it.

How many of you can pass this simple test?

Description : How many of you can pass this simple test?

Last Answer : I can.

How can two infinite sets not have one to one correspondence with each other?

Description : How can two infinite sets not have one to one correspondence with each other?

Last Answer : You've missed what an infinite set means. Consider this definition: Infinite sets are the sets containing an uncountable or infinite number of elements. Infinite sets are also called uncountable sets. That is ... . Or for the set of all positive integers and the set of all negative integers .

Using the rays in the diagram, how many different acute angles can be formed?

Description : Using the rays in the diagram, how many different acute angles can be formed?

Last Answer : We don’t do your homework, but this is a simple combinatorics problem. Any pair of those rays will form an acute angle. How many pairs are there?

Can someone help me with my math assignment?

Description : Can someone help me with my math assignment?

Last Answer : We don't do people's homework here, but we can help in other ways. For instance, some of us can suggest an approach. One would hope, though, that your instructor has already prepared you to ... you take your shot at answering the question, and then post your answer and ask if others will comment?

What’s 0.222222222... as a simplified fraction?

Description : What’s 0.222222222... as a simplified fraction?

Last Answer : 2/9

If somebody choose two digit and three digit numbers and their difference is 989.What will be their sum? a) 1000 b)1010 c) 1006?

Description : If somebody choose two digit and three digit numbers and their difference is 989.What will be their sum? a) 1000 b)1010 c) 1006?

Last Answer : None of the above. Let x be the three digit number and y be the two digit number. x - y =989. x = 989 + y. x is obviously greater than 989 and less than 1000 (since it is three digits). Since y is a two digit number ... 989 + 10 = 999. We can't go any higher, so x =999 and y=10. x+y = 999+10 = 1009

What do you think of this YouTube video on why you can't divide by zero?

Description : What do you think of this YouTube video on why you can't divide by zero?

Last Answer : Also are the symbols for Eternity and infinity the same? ∞

Have you ever forgotten something that you didn't think you ever COULD forget?

Description : Have you ever forgotten something that you didn't think you ever COULD forget?

Last Answer : I still forget my neighbours name. I have known her for 3 years. I forgotten the quadric equation. I remember some math mnemonics but had to look up SOHCAHTOA and roy'g'biv to answer this question. I ... simple things every now and again , and have to look them up online , Fluther , or call family.

How many miles will a person run during a 10 kilometer race?

Description : How many miles will a person run during a 10 kilometer race?

Last Answer : What kind of mile? There are many.

A magazine company conducted a phone survey asking subscribers to identify the brand of outdoor camping equipment they like best. Every subscriber was surveyed, and the results were printed in an article titled “Most Popular Equipment among All Campers.” Why is the title of the article misleading?

Description : A magazine company conducted a phone survey asking subscribers to identify the brand of outdoor camping equipment they like best. Every subscriber was surveyed, and the results were printed in an article titled “Most Popular Equipment among All Campers.” Why is the title of the article misleading?

Last Answer : For view, of course. Edit: ok, now I confused. Are you asking what makes the title misleading, or why the magazine makes the misleading title?

Is there a calculation in which infinities cancels out?

Description : Is there a calculation in which infinities cancels out?

Last Answer : There are many asymptotic functions that are expressed as the x or y value approaches infinity. They are not at all uncommon. And the ratio of two such functions would define something like a line. Students of Analytic Geometry as well as Calculus are quite familiar with the occurrence of infinity.

Why do polls say that they are accurate + - 3.00% of the time 19/20?

Description : Why do polls say that they are accurate + - 3.00% of the time 19/20?

Last Answer : Maybe it should be + – 3.05%

What do you think of this paper?

Description : What do you think of this paper?

Last Answer : The Riemann Hypothesis is one of the most famous of all mathematical problems. If it had been proved it would be newsworthy and we would have heard about it. I am not a mathematician but this proof must be wrong. Scott Aaronson’s blog might be of some help.

What FORMULA of "nth ROOT" ? How do to obtain it with just unique formula?

Description : What FORMULA of "nth ROOT" ? How do to obtain it with just unique formula?

Last Answer : https://en.wikipedia.org/wiki/Nth_root_algorithm

How can we derive the expression for cross product of two vectors?

Description : How can we derive the expression for cross product of two vectors?

Last Answer : Here is a video that shows where the term cross comes from. Two vectors in a 3D space when “multiplied” by each other result in a third vector that represents how they “cross” each other.

What is the probability of getting two pinks balls?

Description : What is the probability of getting two pinks balls?

Last Answer : Wow. There are two ways of solving this question. One way uses recursive probability theory and the other way uses an elegant guess. Wrong site for mathematics questions?

To the nearest 10%, what percentage of all numbers contain a 9?

Description : To the nearest 10%, what percentage of all numbers contain a 9?

Last Answer : You probably need to clarify that you mean what percentage of the set of all integers contains the digit 9'? Because there are an infinite number of numbers that don't contain that digit (and ... is also an infinite set of digits that does not. Maybe you need to restrict your range some more.

Hey guys, does anyone know the factored form of x3-2x2-x+2?

Description : Hey guys, does anyone know the factored form of x3-2x2-x+2?

Last Answer : Welcome to Fluther. Two things: 1. We don't do homework problems or provide answers. If you ask a question of the how do I ? variety, we are much more accommodating. That's just how we roll. (And it ... in a way that'll help you to understand it or get credit for it. But the answer is out there.

Will my final grade drop to a c?

Description : Will my final grade drop to a c?

Last Answer : Do the math.

Does a Riemann like hypothesis exist for 10 dimensions?

Description : Does a Riemann like hypothesis exist for 10 dimensions?

Last Answer : The Riemann Hypothesis has to do with the distribution of prime numbers and has nothing to do with other dimensions as far as I know.

It's that day again! How are you celebrating Π day?

Description : It's that day again! How are you celebrating Π day?

Last Answer : I know it’s silly but I’m having a piece of pecan pie for dessert tonight. The pie is waiting on the kitchen counter.

What does E = mc2 actually mean in mathmatical form?

Description : What does E = mc2 actually mean in mathmatical form?

Last Answer : I had the same question. How can anything go twice the speed of light? Anyway, I went hunting and researching and I finally understood the equation. But now I forgot. This is going to be good!

What is the difference between one foot squared vs. 12 inches squared?

Description : What is the difference between one foot squared vs. 12 inches squared?

Last Answer : I don’t understand your question @RedDeerGuy1. A foot is 12 inches. One foot squared is 144 inches.

Does Asia have its own mathematics?

Description : Does Asia have its own mathematics?

Last Answer : No. Math is the same everywhere.

How much is 5E38?

Description : How much is 5E38?

Last Answer : E is how the calculator expresses overflow by using exponential notation. In most calculators 5E38 would mean 5×10^38.

Is zero an odd or even number?

Description : Is zero an odd or even number?

Last Answer : I think technically it’s even as it’s a multiple of 2 and therefore shares all the traits of even numbers.

What are the shape simplification methods for simplifying the irregular shape geometry as regular geometry?

Description : What are the shape simplification methods for simplifying the irregular shape geometry as regular geometry?

Last Answer : Not sure if this is at all helpful to you, but from a 3d modelling standpoint, you could subdivide the shape into rectangles and triangles.

Is the previous result of lotteries useful for predicting the numbers of a lottery ticket?

Description : Is the previous result of lotteries useful for predicting the numbers of a lottery ticket?

Last Answer : No. Every time is random.

How can I obtain the volume of an irregular body if I just know the vertex coordinates of the irregular body?

Description : How can I obtain the volume of an irregular body if I just know the vertex coordinates of the irregular body?

Last Answer : answer:There isn't an easy formula, otherwise you would have most likely gotten an answer last time you asked this. So if you have coordinates for vertices, from there you can start to create regular objects ... where you have measured the volume of the total space. It is not easy, but it is doable.

If the universe turns out to be granular (meaning there is a smallest length and a smallest unit of time), is mathematics as it exists today a flawed, or even the wrong tool to describe reality?

Description : If the universe turns out to be granular (meaning there is a smallest length and a smallest unit of time), is mathematics as it exists today a flawed, or even the wrong tool to describe reality?

Last Answer : That’s irrational. Sure I will agree will you.

Who can introduce me some popular forums about maths？?

Description : Who can introduce me some popular forums about maths？?

Last Answer : answer:Well, there are a few good math questions right here on ask-public. There are also plenty of mathematicians. Here's an interesting math discussion I started not too long ago: http: ... com/158130/if-1901111111-2902222222-3903333333-and-so-on-then-how-come-9909999999/. Option 2: Stackexchange.

What is the order of operations in math?

Description : What is the order of operations in math?

Last Answer : answer:Please excuse my dear Aunt Sally Parentheses, exponents, multiplication and division, addition and subtraction.

What does the word Euclid mean?

Description : What does the word Euclid mean?

Last Answer : Euclid was the name of an influential Greek mathematician. Accordingly, the term “Euclidean” refers to things that he contributed to the field of mathematics (e.g., Euclidean geometry or the Euclidean algorithm).

Was mathematics discovered or invented?

Description : Was mathematics discovered or invented?

Last Answer : GQ. I think discovered, because it exists in nature in a lot of ways. The six sided honeycomb structure for one example. Maybe insects invented it? :) There’s also E=MC squared. There are a lot of fundamental principles based on mathematics. Nice question to make one think.

In math, why do we have to do the order of operations in the order we do?

Description : In math, why do we have to do the order of operations in the order we do?

Last Answer : It’s just agreed upon. I don’t think it matters other than what is agreed upon, to share formulas across the globe.

Can you help me to work this out?

Description : Can you help me to work this out?

Last Answer : You bought it for $75,00.