I really hate these proofs, I'm great at the math, but it's the proofs that kill me. Here's my problem.
Let A be an n by n matrix.
a) show that A^2 is invertible
b) show that 2A^2 - 3A + I is symmetric.
Let A be an n by n matrix.
a) show that A^2 is invertible
b) show that 2A^2 - 3A + I is symmetric.
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Not all A^2 is invertible.
If determinant of A is zero then A^2 is not invertible
because det(A^2) = [ det(A) * det (A) ]
If determinant of A is zero then A^2 is not invertible
because det(A^2) = [ det(A) * det (A) ]