Chapters

Exercise 1
Exercise 2
Exercise 3
Exercise 4
Exercise 5
Exercise 6
Exercise 7
Exercise 8
Solution of exercise 1
Solution of exercise 2
Solution of exercise 3
Solution of exercise 4
Solution of exercise 5
Solution of exercise 6
Solution of exercise 7
Solution of exercise 8

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Exercise 1

Given the matrices:

$\text{[math]}$

Solve the matrix equation:

$\text{[math]}$

Exercise 2

Given the matrices:

$\text{[math]}$

Solve the matrix equation:

$\text{[math]}$

Exercise 3

Given the matrices:

$\text{[math]}$

Solve the matrix equations:

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

Exercise 4

Given the matrices:

$\text{[math]}$

Solve the matrix equation:

$\text{[math]}$

Exercise 5

Solve the matrix equation:

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

Exercise 6

Solve the system using a matrix equation.

$\text{[math]}$

Exercise 7

Calculate A and B:

$\text{[math]}$

Exercise 8

Solve the following equations without developing the determinants.

1 $\text{[math]}$

2 $\text{[math]}$

Solution of exercise 1

1Given the matrices:

$\text{[math]}$

Solve the matrix equation:

$\text{[math]}$

$\text{[math]}$ there is the inverse $\text{[math]}$

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

Solution of exercise 2

Given the matrices:

$\text{[math]}$

Solve the matrix equation:

$\text{[math]}$

$\text{[math]}$ there is the inverse $\text{[math]}$

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

Solution of exercise 3

Given the matrices:

$\text{[math]}$

Solve the matrix equations:

1. $\text{[math]}$

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

2. $\text{[math]}$

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

3. $\text{[math]}$

$\text{[math]}$

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

4. $\text{[math]}$

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

5. $\text{[math]}$

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

Solution of exercise 4

Given the matrices:

$\text{[math]}$

Solve the matrix equation:

$\text{[math]}$

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

Solution of exercise 5

Solve the matrix equation:

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

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

Solution of exercise 6

Solve the system using a matrix equation.

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

Solution of exercise 7

Calculate A and B:

$\text{[math]}$

Multiply the second equation by −2.

$\text{[math]}$

Add the equations.

$\text{[math]}$

Multiply the first equation by 3 and add the equations:

$\text{[math]}$

Solution of exercise 8

Solve the following equations without developing the determinants.

1 $\text{[math]}$

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

2 $\text{[math]}$

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

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Matrix Equations Worksheet

Exercise 1

Exercise 2

Exercise 3

Exercise 4

Exercise 5

Exercise 6

Exercise 7

Exercise 8

Solution of exercise 1

Solution of exercise 2

Solution of exercise 3

Solution of exercise 4

Solution of exercise 5

Solution of exercise 6

Solution of exercise 7

Solution of exercise 8

Adding Matrices

Matrix Inverse

Types of Matrices

Matrices

Multiplying Matrices

Scalar Matrix Multiplication