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A = 1 + i 2 - 2 " B = 101 1 002 1 10 1 0 01 0 3 1 C = 2 3 2 (Entries of C are from Z9). 185 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:

A = 1 + i 2 - 2 " B = 101 1 002 1 10 1 0 01 0 3 1 C = 2 3 2 (Entries of C are from Z9). 185 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:

Advanced Engineering Mathematics
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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(b) Write the inverse of the given matrices as the product of elementary matrices (Find a sequence of elementary matrices whose product in a correct order is equal to inverse matrix). For A: For B:
Transcribed Image Text:(b) Write the inverse of the given matrices as the product of elementary matrices (Find a sequence of elementary matrices whose product in a correct order is equal to inverse matrix). For A: For B:
A = 1+ 2-i 9 B = 1 1 1 1 10 0 0 1 0 0 1 1 002 Invertibility of B: C = = 1 3 1 2 3 2 (Entries of C are from Z9). 85 1 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:
Transcribed Image Text:A = 1+ 2-i 9 B = 1 1 1 1 10 0 0 1 0 0 1 1 002 Invertibility of B: C = = 1 3 1 2 3 2 (Entries of C are from Z9). 85 1 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:
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