Represent a system of linear equations as a single matrix equation in a vector variable. HSA.REI.C.8 Grade Practice Test Questions TOC | Lumos Learning

Represent a system of linear equations as a single matrix equation in a vector variable. HSA.REI.C.8 Question & Answer Key Resources Lumos StepUp ACT Practice Program - Mathematics

Lumos StepUp ACT Practice Program - Mathematics Represent a system of linear equations as a single matrix equation in a vector variable.

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John was writing equations to represent the following matrix:

\(\left[ \begin{array}{ccc} 1 & -2 & 0 \\ 2 & -7 & 3 \\ 1 & 6 & 1 \end{array} \ \ \ \ \right]\bullet \left[ \begin{array}{c} x \\ y \\ z \end{array} \right]=\left[ \begin{array}{c} 3 \\ -1 \\ 5 \end{array} \right]\)

He wrote these 3 equations. What is wrong with the equations he wrote? What are the correct equations?

\(\left\{ \begin{array}{c} x+2y+z=3 \\ -2x-7y+6z=-1 \\ 3y+z=5 \end{array} \right.\)


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