Chapters

Exercise 1
Exercise 2
Exercise 3
Exercise 4
Exercise 5
Solution of exercise 1
Solution of exercise 2
Solution of exercise 3
Solution of exercise 4
Solution of exercise 5

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Exercise 1

Calculate the matrix inverse by the gaussian elimination method.

$\text{[math]}$

Exercise 2

Calculate the matrix inverse by the gaussian elimination method.

$\text{[math]}$

Exercise 3

Calculate the matrix inverse by determinants.

$\text{[math]}$

Exercise 4

For what values of m in the matrix $\text{[math]}$ does not support an inverse?

Exercise 5

For what values of x in the matrix $\text{[math]}$ does the matrix inverse not support?

Solution of exercise 1

Calculate the matrix inverse by the gaussian elimination method.

$\text{[math]}$ $\text{[math]}$

r₂ - r₁	r₃ + r₂
$\text{[math]}$	$\text{[math]}$
r₂ - r₃	r₁ + r₂
$\text{[math]}$	$\text{[math]}$
(-1) r₂	Matrix Inverse
$\text{[math]}$	$\text{[math]}$

Solution of exercise 2

Calculate the matrix inverse by the gaussian elimination method.

$\text{[math]}$ $\text{[math]}$

r₃ - 2r₁	r₃ - 2r₂
$\text{[math]}$	$\text{[math]}$
r₁ + r₂	Matrix Inverse
$\text{[math]}$	$\text{[math]}$

Solution of exercise 3

Calculate the matrix inverse by determinants.

$\text{[math]}$ $\text{[math]}$ $\text{[math]}$ $\text{[math]}$ $\text{[math]}$ $\text{[math]}$

Solution of exercise 4

For what values of m in the matrix $\text{[math]}$ does not support an inverse?

$\text{[math]}$ $\text{[math]}$ $\text{[math]}$

For any real value of m, there is the inverse $\text{[math]}$ .

Solution of exercise 5

For what values of x in the matrix $\text{[math]}$ does the matrix inverse not support?

$\text{[math]}$

For x = 0 , Matrix A has no inverse.

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Little p

March 2025

I appreciate your work, thanks so much keep up the good work ✅

Vanessa

April 2025

Hello Little P! Thanks very much for the positive feedback!

hariz

January 2025

I didn’t get the same answer for the second question, ive also asked my friends and we all got the same answer it just didnt line up with yours. Apart from that, great website and thanks for the exercises.

Abhishek Lawaniya

August 2024

Very nice and good explanation of matrix
Give some more examples of matrix

Bakhat Ali

July 2024

I want to more study about matrix that’s why I’m using Google

Matrix Inverse Worksheet

Exercise 1

Exercise 2

Exercise 3

Exercise 4

Exercise 5

Solution of exercise 1

Solution of exercise 2

Solution of exercise 3

Solution of exercise 4

Solution of exercise 5

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