Matrix A2= [1 2 3; 4 5 6; 7 8 9; 3 2 4; 6 5...

Matrix A2= [1 2 3; 4 5 6; 7 8 9; 3 2 4; 6 5 4; 9 8 7]

Note: TA2 is defined to be a linear transformation that maps any vector x to A2* x. That is TA2 = A2*x. Also the range of the Linear transformation represented by A2 is the same as the column space of A2.

l) Find a basis for the null(TA2).

m) Find nullity of A2, TA2 and A2^tA2.

n) Find rank(A2), rank(A2^t), rank(TA2) and rank(A2^tA2).

I don't need any explanation, a concise answer is good enough. Please only help if you can give a full and correct answer, thank you!

Expert Solution

Colby Messinger answered 1 day ago

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