2 -1 -2 1 Determine whether the matrices A = 3 1 and B = 1 1 are invertible by finding 1 -1 their determinants. Is the matrix AB invertible? 2 02

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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[2
-1 5
2 -2 1
Determine whether the matrices A
1
and B =
1
1
are invertible by finding
1
2
2 -1 2
their determinants. Is the matrix AB invertible?
Transcribed Image Text:[2 -1 5 2 -2 1 Determine whether the matrices A 1 and B = 1 1 are invertible by finding 1 2 2 -1 2 their determinants. Is the matrix AB invertible?
Expert Solution
Step 1

We have given two matrices and both of them are 3×3 square matrices. If the determinant of the square matrix is zero then that matrix is not invertible. 

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