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Given W = (-3 0, 1 -2), X = (5 1, -3 1, -2, 4), Y = (6 0 1, 0 -1 5), Z = (1 2, -4 3), find A) 3W...

Question:

Given {eq}W = \begin{bmatrix} -3 &1 \\ 0& -2 \end{bmatrix}, X = \begin{bmatrix} 5&-3 &-2 \\ 1& 1& 4 \end{bmatrix}, Y = \begin{bmatrix} 6 &0 \\ 0& -1\\ 1& 5 \end{bmatrix}, Z = \begin{bmatrix} 1 &-4 \\ 2& 3 \end{bmatrix}, {/eq} find

A) {eq}3W - X {/eq}

B) {eq}2Z + W {/eq}

C) {eq}Y \times X {/eq}

D) {eq}X \times Z {/eq}

Matrix Operations:

Some matrix operations are matrix addition, matrix subtraction, matrix multiplication, and scalar multiplication.

  • Matrix addition or subtraction is to find the sum or difference between two matrices, which have the same dimensions.
  • Matrix multiplication is multiplying two matrices, and scalar multiplication is multiplying a matrix by a scalar value.

Answer and Explanation: 1

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Given matrices are:

  • {eq}W = \begin{bmatrix} -3 &1 \\ 0& -2 \end{bmatrix} {/eq}
  • {eq}X = \begin{bmatrix} 5&-3 &-2 \\ 1& 1& 4 \end{bmatrix} {/eq}
  • {eq}...

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Matrix in Math | Definition, Notation & Operations

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Chapter 10 / Lesson 4
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Understand what a matrix is in math, how proper matrix notation is written, and what is matrix order. Using examples of matrices, learn about equal matrices and matrix math operations.


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