Compute the product. begin{bmatrix}0 & -4 & 5 end{bmatrix}begin{bmatrix}x y z end{bmatrix}

Lipossig 2021-03-01 Answered
Compute the product.
[045][xyz]
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Expert Answer

Jaylen Fountain
Answered 2021-03-02 Author has 170 answers
Step 1
Matrix multiplication is a binary operation that produces a matrix from two matrices. For matrix multiplication, the number of columns in the first matrix must be equal to the number of rows in the second matrix.
In order to multiply two matrices, we need to do dot product of rows to column.
Step 2
We have the matrices as
[045][xyz]
Here number of column for first matrix is same as number of rows of second matrix. Therefore multiplication of these two matrices took place as
[045][xyz]=[(0)(x)+(4)(y)+(5)(z)]
[04y+5z]
[4y+5z]
Hence, matrix after multiplication of matrices [045][xyz] is [4y+5z]
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Jeffrey Jordon
Answered 2022-01-22 Author has 2064 answers

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