For each of the pairs of matrices that follow, determine whether it is possible to multiply the first matrix times the second. If it is possible, perform the multiplication. begin{bmatrix}1 & 4&3 0 & 1&40&0&2 end{bmatrix}begin{bmatrix}3 & 2 1 & 14&5 end{bmatrix}

tinfoQ

tinfoQ

Answered question

2020-10-27

For each of the pairs of matrices that follow, determine whether it is possible to multiply the first matrix times the second. If it is possible, perform the multiplication.
[143014002][321145]

Answer & Explanation

smallq9

smallq9

Skilled2020-10-28Added 106 answers

Given,
[143014002][321145]
Here the order of first matrix is (3×3) and the order of second matrix is (3×2), therefore the number of columns of first matrix(3) is equal to number of rows of second matrix(3).
Hence multiplication of these matrices is possible.
Therefore,
[143014002][321145]=[1(3)+4(1)+3(4)1(2)+4(1)+3(5)0(3)+1(1)+4(4)0(2)+1(1)+4(5)0(3)+0(1)+2(4)0(2)+0(1)+2(5)]
=[19211721810]
Jeffrey Jordon

Jeffrey Jordon

Expert2022-01-29Added 2605 answers

Answer is given below (on video)

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