Did my textbook make a mistake, or am I just misunderstanding this concept (linear algebra)?

Did my textbook make a mistake, or am I just misunderstanding this concept (linear algebra)?
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1 Answer

Answer :

The book is wrong and it is easy to demonstrate it. Let the coefficients of a1, a2 and a3 be X1, X2 and X3. From the first equation we have x1 = 2 – 5*X3 and from the second equation we have X2 = 3 – 4X3. We can make X3 anything we want. Let X3 = 1. Then X1 = 3 and X2 = -1. You can see directly that b = 3*a1 -a2 + a3
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