If A and B are 2 × 2 matrices, det (A) = 1, det(B) = 4, then det (AB) = 4 det (-2A): det (A¹) = 1 det (B-¹) = det (B4) = 256

College Algebra
1st Edition
ISBN:9781938168383
Author:Jay Abramson
Publisher:Jay Abramson
Chapter7: Systems Of Equations And Inequalities
Section7.7: Solving Systems With Inverses
Problem 3SE: Can you explain whether a 2×2 matrix with an entire row of zeros can have an inverse?
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I dont understand how to calculate the second one
If A and B are 2 × 2 matrices, det (A) = 1, det(B)
det (AB) = 4
det (-2A) =
det (A¹) = 1
det (B-¹) =
det (B4) = 256
=
4, then
Transcribed Image Text:If A and B are 2 × 2 matrices, det (A) = 1, det(B) det (AB) = 4 det (-2A) = det (A¹) = 1 det (B-¹) = det (B4) = 256 = 4, then
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