Question: Q1. For the given matrix A and vector b calculate Ab or explain why it is undefined. (a) A = 2 1 1 6 -

Q1. For the given matrix A and vector b calculate Ab or explain why it is undefined. (a) A = 2 1 1 6 - 1 (b) A = 3 -2 2 - CT (C) A = 0 , 6 = 7 1 2 (d) A = 4 0 5 b = -2 7 6 (e) A = 0 5 b = -2 7 6 Q2. Given A = 2 1 1. 5- | and = Verify that Ab = c and use this fact to write c as a linear combination of the columns of A. Q3. For each of the following systems of equations, find a matrix A and vectors ' and b such that AT = b represents the system. 41 +12 T3 = -5 (a) +212 -213 = 6 -T1 +512 +813 = 10 3r1 +212 = 4 (b) 211 -12 +513 = 5 1 +212 = 4 (c) 2x1 -12 = 5 12x1 +4x2 = -7

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