(a) A is a 4 x4 matrix and 2(A + I) = I. Enter det (A + I). (b) A is a 3 x3 matrix and -5 A +31 = 0. Enter det (A+I). (c) A is a 2 x 2 matrix and A² + 10 A +16 I = 0. If det (A +51) > 0, enter det (A +5I).

Algebra and Trigonometry (6th Edition)
6th Edition
ISBN:9780134463216
Author:Robert F. Blitzer
Publisher:Robert F. Blitzer
ChapterP: Prerequisites: Fundamental Concepts Of Algebra
Section: Chapter Questions
Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...
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(a) A is a 4 x4 matrix and 2(A + I) = I. Enter det (A + I).
& P
(b) A is a 3 x3 matrix and -5 A +31 = 0. Enter det (A+I).
(c) A is a 2 x 2 matrix and A² + 10 A +16 I = 0. If det (A +51) > 0, enter det (A +5I).
Transcribed Image Text:(a) A is a 4 x4 matrix and 2(A + I) = I. Enter det (A + I). & P (b) A is a 3 x3 matrix and -5 A +31 = 0. Enter det (A+I). (c) A is a 2 x 2 matrix and A² + 10 A +16 I = 0. If det (A +51) > 0, enter det (A +5I).
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