True or false, with a reason if true or a counterexample if false: (a) The determinant of I + A is 1+ det A. (b) The determinant of ABC is |A||B||C|. (c) The determinant of 4A is 4|A|. (d) The determinant of AB - BA is zero. Try an example with A 00 = 0

Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter10: Matrices
Section10.CR: Chapter 10 Review
Problem 14CR
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True or false, with a reason if true or a counterexample if false:
(a) The determinant of I + A is 1+ det A.
(b) The determinant of ABC is |A||B||C|.
(c) The determinant of 4A is 4|A|.
(d) The determinant of AB - BA is zero. Try an example with A
00
=
0
Transcribed Image Text:True or false, with a reason if true or a counterexample if false: (a) The determinant of I + A is 1+ det A. (b) The determinant of ABC is |A||B||C|. (c) The determinant of 4A is 4|A|. (d) The determinant of AB - BA is zero. Try an example with A 00 = 0
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