0 -1/2 1/2 --[443 -1 -1 1 1 0 -1 4. Let A = (a) Compute A-¹ if it exists. What is the rank of A. -(1/2)x2 + (1/2)x3 (b) Use part (a) to solve the system -x1x2 + x3 X1 X3 = 1 = 1.

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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4. Let A =
0
−1
1
-1/2 1/2
-1
1
0
-1
(a) Compute A-¹ if it exists. What is the rank of A.
-(1/2)x2 + (1/2)x3
(b) Use part (a) to solve the system
-x1 - x2 + x3
X1
X3
1
= 1.
=
Transcribed Image Text:4. Let A = 0 −1 1 -1/2 1/2 -1 1 0 -1 (a) Compute A-¹ if it exists. What is the rank of A. -(1/2)x2 + (1/2)x3 (b) Use part (a) to solve the system -x1 - x2 + x3 X1 X3 1 = 1. =
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