If A, B, and C are 2×2 matrices; and det(A) = -3, det(B) = 2, and det(C) = -1 then compute: det(2C-1B²C²A²) = 0
If A, B, and C are 2×2 matrices; and det(A) = -3, det(B) = 2, and det(C) = -1 then compute: det(2C-1B²C²A²) = 0
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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![If \( A \), \( B \), and \( C \) are 2×2 matrices; and \(\det(A) = -3\), \(\det(B) = 2\), and \(\det(C) = -1\) then compute:
\[
\det(2C^{-1}B^2C^2A^2) = \boxed{0}
\]](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fec2b7ff9-b952-4215-9e0f-f264e2036fb8%2F2d19f7fe-22e1-4a97-a553-bcbe7343564e%2F37rzywm_processed.png&w=3840&q=75)
Transcribed Image Text:If \( A \), \( B \), and \( C \) are 2×2 matrices; and \(\det(A) = -3\), \(\det(B) = 2\), and \(\det(C) = -1\) then compute:
\[
\det(2C^{-1}B^2C^2A^2) = \boxed{0}
\]
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