A square matrix is called a permutation matrix if it contains the entry 1 exactly once in each row and in each column, with all other entries being 0. All permutation matrices are invertible. Find the inverse of the permutation matrix A-1 || A = 0 1 0 0 0 1 01 0 0 0 1 0 0 0 0 1 B B B B

Advanced Engineering Mathematics
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Author:Erwin Kreyszig
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Chapter2: Second-order Linear Odes
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A
square matrix is called a permutation matrix if it contains the entry 1 exactly once in each row and in
each column, with all other entries being 0. All permutation matrices are invertible. Find the inverse of
the permutation matrix
A-1
||
A =
0
1
0
0
0
1 01
0
0 0
1
0 0
0 0 1
B
B
B
B
Transcribed Image Text:A square matrix is called a permutation matrix if it contains the entry 1 exactly once in each row and in each column, with all other entries being 0. All permutation matrices are invertible. Find the inverse of the permutation matrix A-1 || A = 0 1 0 0 0 1 01 0 0 0 1 0 0 0 0 1 B B B B
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