Enter the expression that would produce the answer (do include the answer) for row 1 column 1 of the multiplied matrix A⋅B: List the expression in order with the original values using ⋅ for multiplication. then find A⋅B If A=[3724] and B=[−364−2]

Question

Enter the expression that would produce the answer (do include the answer) for row 1 column 1 of the multiplied matrix A⋅B:  List the expression in order with the original values using ⋅ for multiplication.     then find A⋅B  If A=[3724] and B=[−364−2]

Benedict · Accepted Answer

Step 1 To multiply matrix A with matrix B, The number of columns of matrix A and the number of rows of matrix B should be equal. For multiplication of 2×2 matrices, A=[abcd],B=[pqrs] the first row of the resultant matrix is as below: =ap+br Thus, the resultant matrix is as below: AB=[ap+braq+bscp+drcq+ds] Step 2 We have, A=[3724],B=[−364−2] Therefore. AB=[−9+2818−14−6+1612−8] =[194104]

Jeffrey Jordon · Accepted Answer

Answer is given below (on video)

Enter the expression that would produce the answer (do include the answer) for row 1 column 1 of the multiplied matrix A cdot B: List the expression i

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Answer & Explanation

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