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If A, B, and C are 4×4 matrices; and det(A) = −3, det(B) = −4, and det(C) = -5 then compute: det(4B³C-1A-¹C-1BT) = 0

If A, B, and C are 4×4 matrices; and det(A) = −3, det(B) = −4, and det(C) = -5 then compute: det(4B³C-1A-¹C-1BT) = 0

Algebra and Trigonometry (6th Edition)
Algebra and Trigonometry (6th Edition)
6th Edition
ISBN:9780134463216
Author:Robert F. Blitzer
Publisher:Robert F. Blitzer
ChapterP: Prerequisites: Fundamental Concepts Of Algebra
Section: Chapter Questions
Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...
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If \( A \), \( B \), and \( C \) are \( 4 \times 4 \) matrices; and \( \det(A) = -3 \), \( \det(B) = -4 \), and \( \det(C) = -5 \) then compute: \[ \det(4B^3C^{-1}A^{-1}C^{-1}B^T) = \boxed{0} \]
Transcribed Image Text:If \( A \), \( B \), and \( C \) are \( 4 \times 4 \) matrices; and \( \det(A) = -3 \), \( \det(B) = -4 \), and \( \det(C) = -5 \) then compute: \[ \det(4B^3C^{-1}A^{-1}C^{-1}B^T) = \boxed{0} \]
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