Chapter 2.3 Determinants-Properties

Let k 2 and take a as above determinants and inverses

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Unformatted text preview: nants and Inverses Outline Linearity of the Determinant Determinants and Invertibility Determinants and Products Scalar Multiplication with Determinants If k is a scalar, is it true that det(λA) = λ det A? Let k = 2 and take A as above. So det(kA) = k det A. If A has size n × n, then det(kA) = k n det A. Determinants and Inverses Outline Linearity of the Determinant Determinants and Invertibility Determinants and Products Determinants and Inverses The Determinant Map Fix n − 1 vectors v1 , v2 , . . . , vn−1 in Rn . For each i ∈ {1, 2, . . . , n}, defin...
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This note was uploaded on 02/10/2014 for the course MATH 2270 taught by Professor Kenyonj.platt during the Spring '14 term at Snow College.

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