Find the "X" Matrix that meets the equation: AX + B = 2A - X.

{eq}A= \begin{pmatrix} 3&-2 \\ 0&-3 \end{pmatrix} , B= \begin{pmatrix} -5&2 \\ 3&-1 \end{pmatrix} {/eq}

Question:

Find the "X" Matrix that meets the equation: AX + B = 2A - X.

{eq}A= \begin{pmatrix} 3&-2 \\ 0&-3 \end{pmatrix} , B= \begin{pmatrix} -5&2 \\ 3&-1 \end{pmatrix} {/eq}

Finding an Unknown Matrix in a Matrix Equation:

In a matrix equation, an unknown matrix is found by performing indicated matrix operations in the equation. It results in two equivalent matrices, which consist of the elements of the unknown matrix. We equate corresponding elements in both matrices to find the value of each unknown element.

Answer and Explanation: 1

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We are given,

  • Matrix equation: {eq}AX + B = 2A - X {/eq}
  • The matrices are: {eq}A= \begin{pmatrix} 3&-2 \\ 0&-3 \end{pmatrix} {/eq} and {eq}B=...

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Matrix Notation, Equal Matrices & Math Operations with Matrices

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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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