1) Below, we have a 4 x 4 matrix ,"E", and its inverse. Verify E x inv(E) is a 4 x 4 Identity Matrix. You need to use the Matrix - Vector Product written in terms of columns! [ А, В, С, D] E = [ 0, B, C, D] [о, о, с, D] [ 0, 0, 0, D] [ 1/A, -1/A, 0, 0, 0] [ 1/В, -1/В, 0] inv (E) [ 0, 0, 1/C, -1/C] [ 0, 0, 0, 1/D]
1) Below, we have a 4 x 4 matrix ,"E", and its inverse. Verify E x inv(E) is a 4 x 4 Identity Matrix. You need to use the Matrix - Vector Product written in terms of columns! [ А, В, С, D] E = [ 0, B, C, D] [о, о, с, D] [ 0, 0, 0, D] [ 1/A, -1/A, 0, 0, 0] [ 1/В, -1/В, 0] inv (E) [ 0, 0, 1/C, -1/C] [ 0, 0, 0, 1/D]
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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Transcribed Image Text:2) USE THE SAME MATRIX, "E" from above. Verify E x inv(E) is a 4 x 4 Identity
Matrix - by Filling Up the Empty part by using "Partitioned Matrix" - Divide matrices
in submatrices that have more than one entry!
I
1
![1) Below, we have a 4 x 4 matrix ,"E", and its inverse. Verify E x inv(E) is a 4 x 4
Identity Matrix. You need to use the Matrix - Vector Product written in terms of
columns!
[ А, В, С, D]
го, в, с, D]
[о, о, с, D]
[ 0, 0, 0, D]
E
[ 1/A, -1/A,
0,
0]
[
0,
1/B, -1/B,
0]
inv (E)
[
0,
0,
1/C, -1/C]
[
0,
0,
0,
1/D]](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F82aefee1-a4fd-40e7-8b3f-97f92bfc6e2a%2F1d26595c-6c17-4943-8d4d-34dc9b5205b6%2Fb4h8v2e_processed.png&w=3840&q=75)
Transcribed Image Text:1) Below, we have a 4 x 4 matrix ,"E", and its inverse. Verify E x inv(E) is a 4 x 4
Identity Matrix. You need to use the Matrix - Vector Product written in terms of
columns!
[ А, В, С, D]
го, в, с, D]
[о, о, с, D]
[ 0, 0, 0, D]
E
[ 1/A, -1/A,
0,
0]
[
0,
1/B, -1/B,
0]
inv (E)
[
0,
0,
1/C, -1/C]
[
0,
0,
0,
1/D]
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