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A B 0 D where A, B, D are 2 x 2 matrices and 0 is the 2 × 2 zero matrix. Prove that det(M) det (A) det (D). A -(&B). CD det (A) det (D) - det (B) det(C)? Justify your answer. Let the 4 x 4 matrix M is written as 2 x 2 block matrices in the form M = If M where A, B, C, D are 2 × 2 matrices, then can you say det(M) =

A B 0 D where A, B, D are 2 x 2 matrices and 0 is the 2 × 2 zero matrix. Prove that det(M) det (A) det (D). A -(&B). CD det (A) det (D) - det (B) det(C)? Justify your answer. Let the 4 x 4 matrix M is written as 2 x 2 block matrices in the form M = If M where A, B, C, D are 2 × 2 matrices, then can you say det(M) =

Advanced Engineering Mathematics
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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А В Let the 4 x 4 matrix M is written as 2 × 2 block matrices in the form M where A, B, D are 2 × 2 matrices and 0 is the 2 × 2 zero matrix. Prove that det(M) det(A) det(D). IE M = ( A where A, B, C, D are 2 × 2 matrices, then can you say det(M) = C D det(A) det(D) – det(B) det(C)? Justify your answer.
Transcribed Image Text:А В Let the 4 x 4 matrix M is written as 2 × 2 block matrices in the form M where A, B, D are 2 × 2 matrices and 0 is the 2 × 2 zero matrix. Prove that det(M) det(A) det(D). IE M = ( A where A, B, C, D are 2 × 2 matrices, then can you say det(M) = C D det(A) det(D) – det(B) det(C)? Justify your answer.
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