8. If \( A=\left[\begin{array}{ll}1 & 3 \\ 4 & 1\end{array}\right] \), then find \( \left|3 A^{\prime}\right| \).

8. If \( A=\left[\begin{array}{ll}1 & 3 \\ 4 & 1\end{array}\right] \), then find \( \left|3 A^{\prime}\right| \).
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8. If \( A=\left[\begin{array}{ll}1 & 3 \\ 4 & 1\end{array}\right] \), then find \( \left|3 A^{\prime}\right| \).
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9. (i) If \( A =\left[\begin{array}{rr}2 & -1 \\ -1 & 2\end{array}\right] \), verify \( A ^{2}-4 A +3 I = O \), where \( I =\left[\begin{array}{ll}1 & 0 \\ 0 & 1\end{array}\right] \) and \( O =\left[\begin{array}{ll}0 & 0 \\ 0 & 0\end{array}\right] . \) Hence find \( A ^{-1} \)(W. Bengal B. 2016 )

Description : 9. (i) If \( A =\left[\begin{array}{rr}2 & -1 \\ -1 & 2\end{array}\right] \), verify \( A ^{2}-4 A +3 I = O \), where \( I =\left[\begin{array}{ll}1 & 0 \\ 0 & 1\end{array}\right] \) and \( O =\left[\begin{array}{ll}0 & 0 \\ 0 & 0\end{array}\right] . \) Hence find \( A ^{-1} \)(W. Bengal B. 2016 )

Last Answer : 9. (i) If \( A =\left[\begin{array}{rr}2 & -1 \\ -1 & 2\end{array}\right] \), verify \( A ^{2}-4 ... \) Hence find \( A ^{-1} \) (W. Bengal B. 2016 )

(1) If \( X \) is a continuous random variable with density functions\[f(x)=\left\{\begin{array}{ll}\frac{a x^{2}}{8} & 0 \leq x

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(ii) \( \left( A ^{-1}\right)^{-1}= A \).22. Verify : \( A(\operatorname{adj} \cdot A)=(\operatorname{adj} \cdot A) A=|A| I \) when(i) \( A=\left[\begin{array}{rrr}1 & -2 & 2 \\ 2 & 3 & 5 \\ -2 & 0 & 1\end{array}\right] \)

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What is mean by Extra key inserted at the end of Array?

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Description : Which is the non-resonant antenna? A. Broadside Antenna B. Folded Dipole C. Rhombic antenna D. End fire array

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Description : P,Q, & R can complete a piece of job together in 20 days. All the 3 started working at it together and after 8 days P left. Then Q & R together completed a job in 20 more days. P alone could complete the work in. a) 60 b) 50 c) 40 d) 30

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