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 =64−7−2

Find the determinant det A of the matrix A shown.

A = [6 4; −7 −2]
det A =
2.Easy
A =−7−37−8

Find the determinant det A of the matrix A shown.

A = [−7 −3; 7 −8]
det A =
3.Medium
A =−13−1−4215−33

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

A = [−1 3 −1; −4 2 1; 5 −3 3]
det A =
4.Medium
A =163−6B =1643

Let C = AB for the matrices shown. Find the entry c11 (row 1, column 1).

A = [1 6; 3 −6]B = [1 6; 4 3]
c11 =
5.Hard
A =4−1−3−2b =124

Solve the system 4x − y = 12 and −3x − 2y = 4. Find x.

4x − y = 12−3x − 2y = 4
x =
6.Hard
A =−1−3−73

Find the larger eigenvalue λ of the matrix A shown.

A = [−1 −3; −7 3]
λ =

Answer key

  1. 1. det A = 16
  2. 2. det A = 77
  3. 3. det A = 40
  4. 4. c11 = 25
  5. 5. x = 1.818
  6. 6. λ = 6

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