Question: a. If the 3 by 3 matrix A has row 1 + row 2 = row 3, show that it is impossible to solve Ax

a. If the 3 by 3 matrix A has row 1 + row 2 = row 3, show that it is impossible to solve Ax = (1, 2, 4) Can A be invertible?

b. Find the dimension of the linear space if n by n symmetric (A = AT ) matrices . Prove every claim you make.

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