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Back to 11.7 Solving Systems with Inverses

11.7 Exercise 18

Avg difficulty 2.5

Solve the system using the inverse of the coefficient matrix.

 2x−17y+11z=0  −x+11y−7z=8               3y−2z=−2 \begin{matrix} \textrm{ } 2 x - 17 y + 11 z = 0 \\ \textrm{ } - x + 11 y - 7 z = 8 \\ \textrm{ }\textrm{ }\textrm{ }\textrm{ }\textrm{ }\textrm{ }\textrm{ }\textrm{ }\textrm{ }\textrm{ }\textrm{ }\textrm{ }\textrm{ }\textrm{ } 3 y - 2 z = −2\end{matrix}

OpenStax Algebra and Trigonometry 2e, 11.7 Solving Systems with Inverses, exercise 18

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Adapted from College Algebra © 2021 Rice University. Licensed under CC BY 4.0. Sources: College Algebra 2e, Algebra and Trigonometry 2e, Precalculus 2e, College Algebra with Corequisite Support 2e. Imported at revision 4922e46.