Question: (a) Show that a matrix is invertible if and only if the constant term in its minimal polynomial is not 0. (b) Show that if

(a) Show that a matrix is invertible if and only if the constant term in its minimal polynomial is not 0.
(b) Show that if a square matrix T is not invertible then there is a nonzero matrix S such that ST and TS both equal the zero matrix.

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