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. and B= A = 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 B11 B12 AB= = A = A11 A12 A11B11 + A12B21 A11B12 + A12B22 A21B11 + A22B21 A21B12 + A22B22 J 0200 1 1 0 0 0021 B11 В12 B21 B22 4 B = 1 2 0 -1 1 0 1 0 0 003
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. and B= A = 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 B11 B12 AB= = A = A11 A12 A11B11 + A12B21 A11B12 + A12B22 A21B11 + A22B21 A21B12 + A22B22 J 0200 1 1 0 0 0021 B11 В12 B21 B22 4 B = 1 2 0 -1 1 0 1 0 0 003
Algebra for College Students
10th Edition
ISBN:9781285195780
Author:Jerome E. Kaufmann, Karen L. Schwitters
Publisher:Jerome E. Kaufmann, Karen L. Schwitters
Chapter12: Algebra Of Matrices
Section12.3: M X N Matrices
Problem 49PS
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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
A =
AB =
A12]
A22
A =
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
and B=
0 2 0 0
1 1 0 0
2
1
B11 B12
B21 B22.
A11B11 + A12B21 A11B12 + A12B22
A21B11 + A22B21 A21B12 + A22B22]
B =
1 2 0
-1 1 0
1
3
00
0 0](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Ff821f9aa-4788-41c9-90a4-53f493bbfa90%2Fde31cabb-2db2-4caf-944f-ad41dd81ed43%2Ffhuqfpt_processed.jpeg&w=3840&q=75)
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
A =
AB =
A12]
A22
A =
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
and B=
0 2 0 0
1 1 0 0
2
1
B11 B12
B21 B22.
A11B11 + A12B21 A11B12 + A12B22
A21B11 + A22B21 A21B12 + A22B22]
B =
1 2 0
-1 1 0
1
3
00
0 0
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