6. Prove that if M E Mnxn (F) can be written in the form A = - (68). where A and C are square matrices, then det(M) M = det(A). det (C).

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter9: Systems Of Equations And Inequalities
Section9.8: Determinants
Problem 33E
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6. Prove that if M E Mnxn (F) can be written in the form
A
=
- (68).
where A and C are square matrices, then det(M)
M
=
det(A). det (C).
Transcribed Image Text:6. Prove that if M E Mnxn (F) can be written in the form A = - (68). where A and C are square matrices, then det(M) M = det(A). det (C).
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