Use the inverse matrix method to solve the system of linear equations.

{eq}\left\{ \begin{align} & x-2y=4 \\ & 2x-3y=2 \\ \end{align} \right. {/eq}

Question:

Use the inverse matrix method to solve the system of linear equations.

{eq}\left\{ \begin{align} & x-2y=4 \\ & 2x-3y=2 \\ \end{align} \right. {/eq}

Inverse Matrix Method:


The method that is used to solve the system of equations using the matrix inverse is known as the inverse matrix method. The system of equations can be converted in the matrix form, and then we can apply the matrix inverse formula to solve the matrix.

Answer and Explanation: 1

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Given:


  • Consider the equations {eq}x - 2y = 4{/eq} , and {eq}2x - 3y = 2{/eq} .


The objective is to solve the given equations using inverse...

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How to Solve Inverse Matrices

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Chapter 10 / Lesson 5
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What is an inverse matrix? Learn about matrices and matrix inversion, and how to do an inverse matrix. Also, see examples of how to complete an inverse matrix.


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