1 4 Use Gauss-Jordan Elimination to find the inverse of A 2 9 A-1 Use Gauss-Jordan Elimination to find the inverse of O 1 2 В 1 0 1 0 0 2 В 1 ||

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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Part II
1 4
Use Gauss-Jordan Elimination to find the inverse of A
2 9
A¬1
Use Gauss-Jordan Elimination to find the inverse of
0 1
2
В -
1 0 1
0 0 2
В
Transcribed Image Text:Part II 1 4 Use Gauss-Jordan Elimination to find the inverse of A 2 9 A¬1 Use Gauss-Jordan Elimination to find the inverse of 0 1 2 В - 1 0 1 0 0 2 В
Part I
Suppose that AB = C, where A is 3x4 and C is 3x2. Then B must
be
To find the entry c21 of C =
AB, you can take the dot product of
row
of A with column
of B.
Suppose that [0 2 0]B= [6 8
B must be
0]B = [6_8
-2. Then the second row of
1001 0 0
0 1 0 0 1 0
0 0
1 0 0 1
Let D =
Find D' by treating D as a block
1 0
0 0 1 0 0
0 1 0 0 1 0
0 0 1 0 0 1
I I
D?
I I
matrix
Transcribed Image Text:Part I Suppose that AB = C, where A is 3x4 and C is 3x2. Then B must be To find the entry c21 of C = AB, you can take the dot product of row of A with column of B. Suppose that [0 2 0]B= [6 8 B must be 0]B = [6_8 -2. Then the second row of 1001 0 0 0 1 0 0 1 0 0 0 1 0 0 1 Let D = Find D' by treating D as a block 1 0 0 0 1 0 0 0 1 0 0 1 0 0 0 1 0 0 1 I I D? I I matrix
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