Hi, I would like to have the answers to the following questions. Please write down detailed explanation for me. (a) A is a 4 x4 matrix and 5(A + I) = I. Enter det (A + I).(b) A is a 2 x2 matrix and 5 A + 3 I = 0. Enter det (A + I).(c) A is a 3 x3 matrix and A² - 10 A + 16 I = 0. If det (A - 5I)> 0, enter det (A - 5I).

Answered: Image /qna-images/answer/002d693e-a0da-49b1-a5f5-49c839c2cdc4.jpg

(a) A is a 4 x4 matrix and 5(A + I) = I. Enter det (A + I). (b) A is a 2 x2 matrix and 5 A +3I = 0. Enter det (A + I). (c) A is a 3 x3 matrix and A² - 10 A+ 16 I = 0. If det (A-51)>0, enter det (A - 5I).

(a) A is a 4 x4 matrix and 5(A + I) = I. Enter det (A + I). (b) A is a 2 x2 matrix and 5 A +3I = 0. Enter det (A + I). (c) A is a 3 x3 matrix and A² - 10 A+ 16 I = 0. If det (A-51)>0, enter det (A - 5I).

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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Hi, I would like to have the answers to the following questions. Please write down detailed explanation for me.

(a) A is a 4 x4 matrix and 5(A + I) = I. Enter det (A + I).
(b) A is a 2 x2 matrix and 5 A + 3 I = 0. Enter det (A + I).
(c) A is a 3 x3 matrix and A² - 10 A + 16 I = 0. If det (A - 5I)> 0, enter det (A - 5I).

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