Given-M-m-ij-t-a-real-square-matrix-with-t-R-Show-that-the-determinant-of-M-is-linear-function-affine-of-t-

Tinku Tara June 4, 2023 None 0 Comments

Question Number 171343 by mathocean1 last updated on 13/Jun/22

Given M=(m_(ij) +t) a real square matrix, with t∈R. Show that the determinant of M is linear function (affine) of t.

$${Given}\:{M}=\left({m}_{{ij}} +{t}\right)\:{a}\:{real}\:{square} \\ $$$${matrix},\:{with}\:{t}\in\mathbb{R}. \\ $$$${Show}\:{that}\:{the}\:{determinant}\:{of}\:{M} \\ $$$${is}\:{linear}\:{function}\:\left({affine}\right)\:{of}\:{t}. \\ $$

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Given-M-m-ij-t-a-real-square-matrix-with-t-R-Show-that-the-determinant-of-M-is-linear-function-affine-of-t-

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