If A and B are 2 x 2 matrices, det(A) = −1, det(B) = 6 det (AB) det (2A) = -8 det (AT) = -1 det (B-¹) = = det (B²) = 36 1/-6 = -6, then
If A and B are 2 x 2 matrices, det(A) = −1, det(B) = 6 det (AB) det (2A) = -8 det (AT) = -1 det (B-¹) = = det (B²) = 36 1/-6 = -6, then
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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Need help trying to find the det(2A) of this matrix algebra question.
Transcribed Image Text:If A and B are 2 x 2 matrices, det(A) = −1, det(B)
= 6
det (AB)
det (2A)
= -8
det (AT) = -1
det (B-¹) =
=
det (B²) = 36
1/-6
=
-6, then
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