In each case give formulas for all pow- ers A, A?, A³, ... of A using the block decomposition indicated. 1 а. А — 1 1 -1 1 1 1.2 Compute the following using block multiplication (all blocks are k x k). I X I 0 а. -Y I Y I c. [I x ][1 x ]" с. I X 6 any n21 е. 0 -I

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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Question
Q)
In each case give formulas for all pow-
ers A, A², A³, ... of A using the block decomposition
indicated.
1
а. А —
1
1
-1
1
1.2
Compute the following using block
multiplication (all blocks are k x k).
I X]
I 0
а.
-Y
Y
I
c. [1 x ][1 x ]'
I
X
е.
any n > 1
-I
I-
Transcribed Image Text:Q) In each case give formulas for all pow- ers A, A², A³, ... of A using the block decomposition indicated. 1 а. А — 1 1 -1 1 1.2 Compute the following using block multiplication (all blocks are k x k). I X] I 0 а. -Y Y I c. [1 x ][1 x ]' I X е. any n > 1 -I I-
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