Back to 4.5 Solve Systems of Equations Using Matrices

4.5 Exercise 11

Avg difficulty 2.5

Perform the indicated operations sequentially on the augmented matrix:

ⓐ Interchange rows 1 and 3.

ⓑ Multiply row 3 by 3.

ⓒ Multiply row 3 by 2 and add to row 2.

[5−2−24−1−4−230|−24−1]\left[\right. \begin{matrix}5 & & & −2 & & & −2 & & \\ 4 & & & −1 & & & −4 & & \\ −2 & & & 3 & & & 0 & & \end{matrix} \left|\right. \begin{matrix} & & −2 \\ & & 4 \\ & & −1\end{matrix} \left]\right.

OpenStax Intermediate Algebra 2e, 4.5 Solve Systems of Equations Using Matrices, exercise 11

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Adapted from Intermediate Algebra 2e © 2020 Rice University. Licensed under CC BY 4.0. Source: Intermediate Algebra 2e. Imported at revision 77a933c.