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 =−4−287

Find the determinant det A of the matrix A shown.

A = [−4 −2; 8 7]
det A =
2.Easy
A =89−2−9

Find the determinant det A of the matrix A shown.

A = [8 9; −2 −9]
det A =
3.Medium
A =35−5−5B =4−11−6

Let C = AB for the matrices shown. Find the entry c21 (row 2, column 1).

A = [3 5; −5 −5]B = [4 −1; 1 −6]
c21 =
4.Medium
A =3−42−2B =−3−6−41

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

A = [3 −4; 2 −2]B = [−3 −6; −4 1]
c11 =
5.Hard
A =−312−3b =011

Solve the system −3x + y = 0 and 2x − 3y = 11. Find x.

−3x + y = 02x − 3y = 11
x =
6.Hard
A =−14−16b =712

Solve the system −x + 4y = 7 and −x + 6y = 12. Find x.

−x + 4y = 7−x + 6y = 12
x =

Answer key

  1. 1. det A = −12
  2. 2. det A = −54
  3. 3. c21 = −25
  4. 4. c11 = 7
  5. 5. x = −1.571
  6. 6. x = 3

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