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 =−52−51

Find the determinant det A of the matrix A shown.

A = [−5 2; −5 1]
det A =
2.Easy
A =0−547

Find the determinant det A of the matrix A shown.

A = [0 −5; 4 7]
det A =
3.Medium
A =−44−20−1051−2

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

A = [−4 4 −2; 0 −1 0; 5 1 −2]
det A =
4.Medium
A =−3−6−6−5B =−2−1−6−5

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

A = [−3 −6; −6 −5]B = [−2 −1; −6 −5]
c11 =
5.Hard
A =−16−712

Find the larger eigenvalue λ of the matrix A shown.

A = [−1 6; −7 12]
λ =
6.Hard
A =163−3b =−312

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

x + 6y = −33x − 3y = 12
x =

Answer key

  1. 1. det A = 5
  2. 2. det A = 20
  3. 3. det A = −18
  4. 4. c11 = 42
  5. 5. λ = 6
  6. 6. x = 3

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