i'm reading and doing some work in introduction to linear algebra fifth edition, and i came across some problems that i had no clue.(adsbygoogle = window.adsbygoogle || []).push({});

1. An (n x n) matrix A is a skew symmetric (A(transposed) = -A). Argue that an (n x n) skew-symmetrix matrix is singular when n is an odd integer.

2. Prove that if A is nonsingular, then 1/(eigenvalue symbol) is an eigenvalue of A^-1

can someone explain some of these for me. thank you

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# Linear algebra: determinants and eigenvalues

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