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 =1−463

Find the determinant det A of the matrix A shown.

A = [1 −4; 6 3]
det A =
2.Easy
A =09−3−7

Find the determinant det A of the matrix A shown.

A = [0 9; −3 −7]
det A =
3.Medium
A =−51−24B =55−25

Let C = AB for the matrices shown. Find the entry c12 (row 1, column 2).

A = [−5 1; −2 4]B = [5 5; −2 5]
c12 =
4.Medium
A =044−2−3−15−24

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

A = [0 4 4; −2 −3 −1; 5 −2 4]
det A =
5.Hard
A =2−147

Find the larger eigenvalue λ of the matrix A shown.

A = [2 −1; 4 7]
λ =
6.Hard
A =4−4−3−1b =0−3

Solve the system 4x − 4y = 0 and −3x − y = −3. Find x.

4x − 4y = 0−3x − y = −3
x =

Answer key

  1. 1. det A = 27
  2. 2. det A = 27
  3. 3. c12 = −20
  4. 4. det A = 88
  5. 5. λ = 6
  6. 6. x = 0.75

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