Suppose that AB C, where A is 3x4 and C is 3x2. Then B must be 4 To find the entry c21 of C = AB, you can take the dot product of row| 2 V of A with column 1 vof B. Suppose that [0 2 0]B= [6 8 B must be -2. Then the second row of 3 4 -1 1 0 0 1 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 1 0 0 0 1 0 0 1 0 0 0 1 0 0 1 I I D? I I matrix

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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Suppose that AB
C, where A is 3x4 and C is 3x2. Then B must
be 4
To find the entry c21 of C = AB, you can take the dot product of
row | 2
V of A with column 1
Vof B.
Suppose that [0 2 0]B= [6 8 -
-2. Then the second row of
B must be
3
4
-1
1001 0 0
0 1 0 0 1 0
0 0 10 0 1
Let D
Find D' by treating D as a block
1 0 0 1 0 0
0 1 0 0 1 0
0 0 1 0 0 1
I I
D²
I I
matrix
Transcribed Image Text:Suppose that AB C, where A is 3x4 and C is 3x2. Then B must be 4 To find the entry c21 of C = AB, you can take the dot product of row | 2 V of A with column 1 Vof B. Suppose that [0 2 0]B= [6 8 - -2. Then the second row of B must be 3 4 -1 1001 0 0 0 1 0 0 1 0 0 0 10 0 1 Let D Find D' by treating D as a block 1 0 0 1 0 0 0 1 0 0 1 0 0 0 1 0 0 1 I I D² I I matrix
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