Name: Matrix Rank Worksheet
Brand: Superprof
SKU: SP-RB-00015043
Rating: 4 (4 reviews)

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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:

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

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

$\text{[math]}$

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

4. $\text{[math]}$

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

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

Solution of exercise 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 $\text{[math]}$

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

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

Summarise with AI:

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4.00 (5 rating(s))

Emma

I am passionate about travelling and currently live and work in Paris. I like to spend my time reading, gardening, running, learning languages and exploring new places.

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Little p

March 2025

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

Vanessa - Editorial Manager Superprof UK

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

Summarise with AI:

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

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

Matrices

Multiplying Matrices

Scalar Matrix Multiplication