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.

$\text{[math]}$

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.

$\text{[math]}$

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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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

Adding Matrices

Matrix Inverse

Types of Matrices

Matrices

Multiplying Matrices

Scalar Matrix Multiplication

Matrix Equations

Rank of a Matrix

Matrix Formulas