If a 4 by 4 matrix has det A = det(A-1). , find det (2A) and det(-A) and det(A2) and If a 3 by 3 matrix has det A = -1, find det (A) and det(-A) and det(A²) and det (A-1).

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter9: Systems Of Equations And Inequalities
Section9.7: The Inverse Of A Matrix
Problem 6E
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If a 4 by 4 matrix has det A =
det(A-1).
, find det (2A) and det(-A) and det(A2) and
If a 3 by 3 matrix has det A = -1, find det (A) and det(-A) and det(A²) and
det (A-1).
Transcribed Image Text:If a 4 by 4 matrix has det A = det(A-1). , find det (2A) and det(-A) and det(A2) and If a 3 by 3 matrix has det A = -1, find det (A) and det(-A) and det(A²) and det (A-1).
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