Perform the indicated block multiplication of matrices A and B. If matrices A and B are each partitioned into four submatrices A11 A12 A = [A21 A22 then you can block multiply A and B, provided the sizes of the submatrices are such that the matrix multiplications and additions are defined. A11 A12 B11 B12 A21 A22] B21 B22 AB = = A = and B = A11B11 + A12B21 A21B11 + A22B21 1 1 0 0 2000 0 0 2 1 A11B12 + A12B22 A21B12 + A22B22. B = B11 B12 B21 B22 2 -1 0 1 10 0 01 0 0 3 Enter an exact number

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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Perform the indicated block multiplication of matrices A and B. If matrices A and B are each partitioned into four submatrices
A11 A12
A21 A22
then you can block multiply A and B, provided the sizes of the submatrices are such that the matrix multiplications and additions are defined.
B11 B12
A11 A12
A21 A22
B21 B22
A =
AB =
=
A =
1 10 0
2000
0 0 2 1
and B =
A11B11 + A12B21 A11B12 + A12B22
A21B11 + A22B21
A21B12 + A22B22
I
B =
B11 B12
B21 B22
2 -1 0
1
10
0
0 1
0
03
Enter an exact number
Transcribed Image Text:Perform the indicated block multiplication of matrices A and B. If matrices A and B are each partitioned into four submatrices A11 A12 A21 A22 then you can block multiply A and B, provided the sizes of the submatrices are such that the matrix multiplications and additions are defined. B11 B12 A11 A12 A21 A22 B21 B22 A = AB = = A = 1 10 0 2000 0 0 2 1 and B = A11B11 + A12B21 A11B12 + A12B22 A21B11 + A22B21 A21B12 + A22B22 I B = B11 B12 B21 B22 2 -1 0 1 10 0 0 1 0 03 Enter an exact number
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