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 =−70−61

Find the determinant det A of the matrix A shown.

A = [−7 0; −6 1]
det A =
2.Easy
A =423−8

Find the determinant det A of the matrix A shown.

A = [4 2; 3 −8]
det A =
3.Medium
A =5−12−34−21−43

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

A = [5 −1 2; −3 4 −2; 1 −4 3]
det A =
4.Medium
A =−2−33−4B =0405

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

A = [−2 −3; 3 −4]B = [0 4; 0 5]
c22 =
5.Hard
A =3−3−33

Find the larger eigenvalue λ of the matrix A shown.

A = [3 −3; −3 3]
λ =
6.Hard
A =6−4−1−3b =12−8

Solve the system 6x − 4y = 12 and −x − 3y = −8. Find x.

6x − 4y = 12−x − 3y = −8
x =

Answer key

  1. 1. det A = −7
  2. 2. det A = −38
  3. 3. det A = 29
  4. 4. c22 = −8
  5. 5. λ = 6
  6. 6. x = 3.091

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