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8. Let 2x2 matrices A = O a 8, b=5 Oa-6, b-7 none of these a -328-321AB - 2. then If = 4 с d Oa-5, b-8

8. Let 2x2 matrices A = O a 8, b=5 Oa-6, b-7 none of these a -328-321AB - 2. then If = 4 с d Oa-5, b-8

Advanced Engineering Mathematics
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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The problem involves matrix multiplication of two 2x2 matrices: Matrix \( A \) is defined as: \[ A = \begin{pmatrix} 1 & 2 \\ 3 & 4 \end{pmatrix} \] Matrix \( B \) is defined as: \[ B = \begin{pmatrix} 2 & 1 \\ 3 & 2 \end{pmatrix} \] The task is to compute the product of matrices \( A \) and \( B \), i.e., \( AB = \begin{pmatrix} a & b \\ c & d \end{pmatrix} \). The question asks to find the values of \( a \) and \( b \) from the following options: - \( a = 8, b = 5 \) - \( a = 6, b = 7 \) - none of these - \( a = 5, b = 8 \)
Transcribed Image Text:The problem involves matrix multiplication of two 2x2 matrices: Matrix \( A \) is defined as: \[ A = \begin{pmatrix} 1 & 2 \\ 3 & 4 \end{pmatrix} \] Matrix \( B \) is defined as: \[ B = \begin{pmatrix} 2 & 1 \\ 3 & 2 \end{pmatrix} \] The task is to compute the product of matrices \( A \) and \( B \), i.e., \( AB = \begin{pmatrix} a & b \\ c & d \end{pmatrix} \). The question asks to find the values of \( a \) and \( b \) from the following options: - \( a = 8, b = 5 \) - \( a = 6, b = 7 \) - none of these - \( a = 5, b = 8 \)
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