(a) Show that a matrix is invertible if and only if the constant term in its minimal...

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(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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Linear Algebra

ISBN: 9780982406212

1st Edition

Authors: Jim Hefferon

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Question Posted: Jun 01, 2016 02:29 AM

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(a) Show that a matrix is invertible if and only if the constant term in its minimal...

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Suppose that mx x n m n 1 x n 1 m 1 x m 0 is minimal for T a For the if argu...View the full answer

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