2 -6] The matrix -5 k is invertible if and only if k + #☐

Elements Of Modern Algebra
8th Edition
ISBN:9781285463230
Author:Gilbert, Linda, Jimmie
Publisher:Gilbert, Linda, Jimmie
Chapter1: Fundamentals
Section1.6: Matrices
Problem 21E: Suppose that A is an invertible matrix over and O is a zero matrix. Prove that if AX=O, then X=O.
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The matrix
2
-
-6]
is invertible if and only if k
±
-5
k
Transcribed Image Text:The matrix 2 - -6] is invertible if and only if k ± -5 k
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