Suppose that A&B are n x n matrices and A² B = I, then O a. A-1 = BA %3D O b. A-1 = AB %3D OCA-1 = A %3D O d. A-1 = B %3D
Suppose that A&B are n x n matrices and A² B = I, then O a. A-1 = BA %3D O b. A-1 = AB %3D OCA-1 = A %3D O d. A-1 = B %3D
College Algebra (MindTap Course List)
12th Edition
ISBN:9781305652231
Author:R. David Gustafson, Jeff Hughes
Publisher:R. David Gustafson, Jeff Hughes
Chapter6: Linear Systems
Section6.3: Matrix Algebra
Problem 78E
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Question
![Suppose that A&B are n × n matrices and A² B = I, then
O a. A-1 = BA
Ob. A-1 = AB
OCA-1 = A
O d. A-1 = B](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fd6e87947-2916-4335-8ef5-06a40bf59046%2F5e1b6795-0a19-40f6-bc0b-f8e5afc4b71c%2Feeie5bi_processed.jpeg&w=3840&q=75)
Transcribed Image Text:Suppose that A&B are n × n matrices and A² B = I, then
O a. A-1 = BA
Ob. A-1 = AB
OCA-1 = A
O d. A-1 = B
![Suppose that Q is an orthogonal matrix, then
O a. |Q²| = 4
O b. |Q²| = 2
OCIQ?| = 1
O d. IQ°| = 0](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fd6e87947-2916-4335-8ef5-06a40bf59046%2F5e1b6795-0a19-40f6-bc0b-f8e5afc4b71c%2F2iyncd_processed.jpeg&w=3840&q=75)
Transcribed Image Text:Suppose that Q is an orthogonal matrix, then
O a. |Q²| = 4
O b. |Q²| = 2
OCIQ?| = 1
O d. IQ°| = 0
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