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 =350−8

Find the determinant det A of the matrix A shown.

A = [3 5; 0 −8]
det A =
2.Easy
A =−5−9−27

Find the determinant det A of the matrix A shown.

A = [−5 −9; −2 7]
det A =
3.Medium
A =−2−531−41442

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

A = [−2 −5 3; 1 −4 1; 4 4 2]
det A =
4.Medium
A =6420B =10−11

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

A = [6 4; 2 0]B = [1 0; −1 1]
c12 =
5.Hard
A =2−327

Find the larger eigenvalue λ of the matrix A shown.

A = [2 −3; 2 7]
λ =
6.Hard
A =2556b =3−6

Solve the system 2x + 5y = 3 and 5x + 6y = −6. Find x.

2x + 5y = 35x + 6y = −6
x =

Answer key

  1. 1. det A = −24
  2. 2. det A = −53
  3. 3. det A = 74
  4. 4. c12 = 4
  5. 5. λ = 5
  6. 6. x = −3.692

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