December 6, 2020

Chapters

## Exercise 1

Calculate the matrix inverse by the gaussian elimination method.

## Exercise 2

Calculate the matrix inverse by the gaussian elimination method.

## Exercise 3

Calculate the matrix inverse by determinants.

## Exercise 4

For what values of m in the matrix does not support an inverse?

## Exercise 5

For what values of x in the matrix does the matrix inverse not support?

## Solution of exercise 1

Calculate the matrix inverse by the gaussian elimination method.

r_{2} - r_{1} | r_{3} + r_{2} |

r_{2} - r_{3} | r_{1} + r_{2} |

(-1) r_{2} | Matrix Inverse |

## Solution of exercise 2

Calculate the matrix inverse by the gaussian elimination method.

r_{3} - 2r_{1} | r_{3} - 2r_{2} |

r_{1} + r_{2} | Matrix Inverse |

## Solution of exercise 3

Calculate the matrix inverse by determinants.

## Solution of exercise 4

For what values of m in the matrix does not support an inverse?

For any real value of m, there is the inverse .

## Solution of exercise 5

For what values of x in the matrix does the matrix inverse not support?

For x = 0 , Matrix A has no inverse.