Answered: A = 1+ 2 1 B = 1 O 0 1 002 10 1 O O C =…

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A = 1+ 2 1 B = 1 O 0 1 002 10 1 O O C = 3 1 2 3 2 (Entries of Care from Z9). 8 5

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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Question

Consider the following matrices A, B and C (attached in image). Note that only the entries of matrix C are in Z9. The other two matrices A and B are
matrices with real numbers entries.
(a) Find the inverse of all the given matrices, if they are invertible, using Gauss-Jordan
method?
Invertibility of A:
Invertibility of B:
Invertibility of C:

A =
-0
=
+2
B =
101 1
002
1
1
0
0 1 0
0
C =
1
2
3 1]
3 2 (Entries of C' are from Zo).
8
5

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Step 1: We write the given matrices and give Gauss - Jordan method .

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Step 2: We find inverse of matrix A .

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Step 3: We find inverse of matrix B .

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Step 4: We find inverse of matrix C .

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