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If A, B, and C are 3×3 matrices; and det(A) = 5, det(B) = −2, and det(C) = 3 then compute: det (3BTC-1A-¹CT) = 0

If A, B, and C are 3×3 matrices; and det(A) = 5, det(B) = −2, and det(C) = 3 then compute: det (3BTC-1A-¹CT) = 0

College Algebra
College Algebra
10th Edition
ISBN:9781337282291
Author:Ron Larson
Publisher:Ron Larson
Chapter7: Matrices And Determinants
Section7.2: Operations With Matrices
Problem 3ECP: For the matrices below, find (a) AB, (b) 3A and (c) 3A2B. A=410438 and B=041317
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If A, B, and C are 3×3 matrices; and det(A) = 5, det(B) = −2, and det(C) = 3 then compute: det(3BTC-¹A-¹CT) = 0
Transcribed Image Text:If A, B, and C are 3×3 matrices; and det(A) = 5, det(B) = −2, and det(C) = 3 then compute: det(3BTC-¹A-¹CT) = 0
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