?Let ???? and ???? be the following partitioned matrices.\(A=\left[\begin{array}{rrr
Chapter 1, Problem 25(choose chapter or problem)
Let š“ and šµ be the following partitioned matrices.
\(A=\left[\begin{array}{rrr|rr} 1 & 0 & 2 & 1 & 4 \\ 4 & 1 & 0 & 3 & -1 \\ \hline 0 & -3 & 4 & 2 & -2 \end{array}\right]=\left[\begin{array}{ll} A_{11} & A_{12} \\ A_{21} & A_{22} \end{array}\right] \)
\(B=\left[\begin{array}{rr} 3 & 0 \\ 2 & 1 \\ 4 & -1 \\ 0 & 3 \\ 2 & 5 \end{array}\right]=\left[\begin{array}{l} B_{1} \\ B_{2} \end{array}\right] \)
a. Confirm that the sizes of all matrices are such that the product š“šµ can be obtained using Formula (ā).
b. Confirm that the result obtained using Formula (ā) agrees with that obtained using ordinary matrix multiplication.
Equation Transcription:
Text Transcription:
A=[1 0 2| 1 4
4 1 0 | 3 -1
0 -3 4 | 2 -2] = [A_11 A_12 A_21 A_22]
B=[30
2 1
4 -1
0 3
2 5]=[B_1 B_2]
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