Consider the following matrix. -2 0 1 A = 1 -1 0 -1 -21 Choose the correct description of A. -1 Find A if it exists. A is nonsingular. That is, it has an inverse. A¹ = 0 A is singular. That is, its inverse doesn't exist. olo [000) (000) 1000 000 X 5 ?

Algebra for College Students
10th Edition
ISBN:9781285195780
Author:Jerome E. Kaufmann, Karen L. Schwitters
Publisher:Jerome E. Kaufmann, Karen L. Schwitters
Chapter11: Systems Of Equations
Section11.4: Determinants
Problem 53PS
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Consider the following matrix.
2
0 1
A =
-1 0
1 -2 1
Choose the correct description of A.
-1
Find A if it exists.
OA is nonsingular. That is, it has an inverse.
A 0
-
A is singular. That is, its inverse doesn't exist.
1
010
[000)
X
5
?
Transcribed Image Text:Consider the following matrix. 2 0 1 A = -1 0 1 -2 1 Choose the correct description of A. -1 Find A if it exists. OA is nonsingular. That is, it has an inverse. A 0 - A is singular. That is, its inverse doesn't exist. 1 010 [000) X 5 ?
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