Let A be an n × n nonsingular matrix. (a) Prove that (AT ) -1 = (A-1) T . (b) Let b be an… 1 answer below »

Let A be an n × n nonsingular matrix.

(a) Prove that (AT )−1 = (A−1)T .

(b) Let b be an n-vector; then Ax = b has exactly one solution. Prove that this solution satisfies the normal equations.

 

 

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