Matrices & determinants worksheet with answers

Free printable Matrices & determinants worksheet: 6 problems from easy to exam level, with an answer key. Print it or save it as a PDF.

New worksheetPractise online with hints

For teachers: free to print, copy and use in class. Every new worksheet has new values and its own answer key. A link to ExamProblems on your course page is appreciated.

Name: ____________________   Date: ____________

1.Easy
A =81−4−8

Find the determinant det A of the matrix A shown.

A = [8 1; −4 −8]
det A =
2.Easy
A =850−8

Find the determinant det A of the matrix A shown.

A = [8 5; 0 −8]
det A =
3.Medium
A =−1−3−3035−3−5−1

Find the determinant det A of the 3×3 matrix A shown.

A = [−1 −3 −3; 0 3 5; −3 −5 −1]
det A =
4.Medium
A =−30−2−2B =1303

Let C = AB for the matrices shown. Find the entry c22 (row 2, column 2).

A = [−3 0; −2 −2]B = [1 3; 0 3]
c22 =
5.Hard
A =1−1−14b =11

Solve the system x − y = 1 and −x + 4y = 1. Find x.

x − y = 1−x + 4y = 1
x =
6.Hard
A =−152−3b =118

Solve the system −x + 5y = 11 and 2x − 3y = 8. Find x.

−x + 5y = 112x − 3y = 8
x =

Answer key

  1. 1. det A = −60
  2. 2. det A = −64
  3. 3. det A = −4
  4. 4. c22 = −12
  5. 5. x = 1.667
  6. 6. x = 10.43

Full step-by-step solutions: practise this topic on examproblems.com.