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 =3−9−66

Find the determinant det A of the matrix A shown.

A = [3 −9; −6 6]
det A =
2.Easy
A =2−98−8

Find the determinant det A of the matrix A shown.

A = [2 −9; 8 −8]
det A =
3.Medium
A =−4−2−3−3554−43

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

A = [−4 −2 −3; −3 5 5; 4 −4 3]
det A =
4.Medium
A =2−35−3B =−5−466

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

A = [2 −3; 5 −3]B = [−5 −4; 6 6]
c11 =
5.Hard
A =6−25−5

Find the larger eigenvalue λ of the matrix A shown.

A = [6 −2; 5 −5]
λ =
6.Hard
A =−4−41−2b =11−11

Solve the system −4x − 4y = 11 and x − 2y = −11. Find x.

−4x − 4y = 11x − 2y = −11
x =

Answer key

  1. 1. det A = −36
  2. 2. det A = 56
  3. 3. det A = −174
  4. 4. c11 = −28
  5. 5. λ = 5
  6. 6. x = −5.5

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