< >A webassign.net+AppleiCloudYahooBing Wikipedia FacebookTwitter Linkedinhttps://newco.sRgstrd=trueBunker Hill C.unity College 3 If you doub. Course HeroSlack | Get S. COM-171-B1Anchor - The .ke a podcastOrder received>>f 2021SP MAT-29..O Multiplying Mat.W. 2.1 Homework -.O Scalar Multiplic.(89) Matrix calculatorO how to use the...E Matrix CalculatorR Matrix Multiplic.b My Questions ..[-/1 Points]DETAILSLARLINALG8 2.1.083.MY NOTESPerform the indicated block multiplication of matrices A and B. If matrices A and B are each partitioned into four submatricesA11 A12B11 B12A =and B =A21 A22B21 B22then you can block multiply A and B, provided the sizes of the submatrices are such that the matrix multiplications and additions are defined.A11 A12B11 B12AB =A21 A22B21 B22A11B11 + A12B21 A11B12 + A12B22=A21B11 + A22B21 A21B12 + A22B22.2 -1 01 20 01 olo o11A =B =0130 02 10 1Need Help?Read Ito om

Given, A=A11A12A21A22 and B=B11B12B21B22…

Answered: Perform the indicated block…

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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< >
A webassign.net
+
Apple
iCloud
Yahoo
Bing Wikipedia Facebook
Twitter Linkedin
https://newco.sRgstrd=true
Bunker Hill C.unity College 3 If you doub. Course Hero
Slack | Get S. COM-171-B1
Anchor - The .ke a podcast
Order received
>>
f 2021SP MAT-29..
O Multiplying Mat.
W. 2.1 Homework -.
O Scalar Multiplic.
(89) Matrix calculator
O how to use the...
E Matrix Calculator
R Matrix Multiplic.
b My Questions ..
[-/1 Points]
DETAILS
LARLINALG8 2.1.083.
MY NOTES
Perform the indicated block multiplication of matrices A and B. If matrices A and B are each partitioned into four submatrices
A11 A12
B11 B12
A =
and B =
A21 A22
B21 B22
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
AB =
A21 A22
B21 B22
A11B11 + A12B21 A11B12 + A12B22
=
A21B11 + A22B21 A21B12 + A22B22.
2 -1 0
1 20 0
1 olo o
1
1
A =
B =
013
0 02 1
0 1
Need Help?
Read It
o om

Expert Solution

Step 1

Given,

$A = [\begin{matrix} A_{11} & A_{12} \\ A_{21} & A_{22} \end{matrix}] a n d B = [\begin{matrix} B_{11} & B_{12} \\ B_{21} & B_{22} \end{matrix}]$

$A B = [\begin{matrix} A_{11} & A_{12} \\ A_{21} & A_{22} \end{matrix}] [\begin{matrix} B_{11} & B_{12} \\ B_{21} & B_{22} \end{matrix}] = [\begin{matrix} A_{11} B_{11} + A_{12} B_{21} & A_{11} B_{12} + A_{12} B_{22} \\ A_{21} B_{11} + A_{22} B_{21} & A_{21} B_{12} + A_{22} B_{22} \end{matrix}]$

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