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 =4−4−53

Find the determinant det A of the matrix A shown.

A = [4 −4; −5 3]
det A =
2.Easy
A =4−7−4−1

Find the determinant det A of the matrix A shown.

A = [4 −7; −4 −1]
det A =
3.Medium
A =−3−51−1B =5−500

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

A = [−3 −5; 1 −1]B = [5 −5; 0 0]
c12 =
4.Medium
A =−1100−554−25

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

A = [−1 1 0; 0 −5 5; 4 −2 5]
det A =
5.Hard
A =6−4−4−6b =611

Solve the system 6x − 4y = 6 and −4x − 6y = 11. Find x.

6x − 4y = 6−4x − 6y = 11
x =
6.Hard
A =6−132

Find the larger eigenvalue λ of the matrix A shown.

A = [6 −1; 3 2]
λ =

Answer key

  1. 1. det A = −8
  2. 2. det A = −32
  3. 3. c12 = 15
  4. 4. det A = 35
  5. 5. x = −0.1538
  6. 6. λ = 5

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