Determinants and Cramer's Rule
7. Systems of Equations & Matrices / Determinants and Cramer's Rule / Problem 7
Determine the inverse of the following matrix, if possible.
![{"mathml":"<math style=\"font-family:stix;font-size:16px;\" xmlns=\"http://www.w3.org/1998/Math/MathML\"><mstyle mathsize=\"16px\"><mfenced open=\"[\" close=\"]\"><mtable><mtr><mtd><mo>-</mo><mn>5</mn></mtd><mtd><mo>-</mo><mn>7</mn></mtd></mtr><mtr><mtd><mn>2</mn></mtd><mtd><mn>1</mn></mtd></mtr></mtable></mfenced></mstyle></math>","truncated":false}](https://lightcat-files.s3.amazonaws.com/problem_images/39041d0e0c8eba3f-1682605012404.jpg "open square brackets table row cell negative 5 end cell cell negative 7 end cell row 2 1 end table close square brackets"){kind=small}
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Determine the inverse of the following matrix, if possible.