The answer is not B?
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Answer:
[tex]\left[\begin{array}{cc}a_{1}&a_{2}\\a_{3}&a_{4}\end{array}\right] * \left[\begin{array}{cc}b_{1}&b_{2}\\b_{3}&b_{4}\end{array}\right] = \left[\begin{array}{cc}(a_{1} * b_{1} + a_{2}* b_{3})&(a_{1} * b_{2} + a_{2} * b_{4})\\(a_{3} * b_{1} + a_{4} * b_{3})&(a_{3} * b_{2} + a_{4} * b_{4})\end{array}\right][/tex]
Plugging in the values from the two matrices will give us the answer A
Answer: The correct option is A
Step-by-step explanation:
The transpose of a matrix is the matrix formed by interchanging the rows with the columns. It means that the transpose of matrix A would be
5 3
2 - 1
By multiplying, we would multiply the terms in each row by the corresponding terms in the columns and add.
The product of matrix A and its transpose would be
5 2 × 5 3
3 - 1 2 - 1
It becomes
25 + 4 15 + (- 2)
15 - 2 9 + 1
The final answer is
29 13
13 10