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.

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1.Easy
A =−7481

Find the determinant det A of the matrix A shown.

A = [−7 4; 8 1]
det A =
2.Easy
A =375−6

Find the determinant det A of the matrix A shown.

A = [3 7; 5 −6]
det A =
3.Medium
A =−4026B =201−1

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

A = [−4 0; 2 6]B = [2 0; 1 −1]
c11 =
4.Medium
A =0−2−5−3B =513−5

Let C = AB for the matrices shown. Find the entry c22 (row 2, column 2).

A = [0 −2; −5 −3]B = [5 1; 3 −5]
c22 =
5.Hard
A =−2225b =12−9

Solve the system −2x + 2y = 12 and 2x + 5y = −9. Find x.

−2x + 2y = 122x + 5y = −9
x =
6.Hard
A =56−3−2b =−610

Solve the system 5x + 6y = −6 and −3x − 2y = 10. Find x.

5x + 6y = −6−3x − 2y = 10
x =

Answer key

  1. 1. det A = −39
  2. 2. det A = −53
  3. 3. c11 = −8
  4. 4. c22 = 10
  5. 5. x = −5.571
  6. 6. x = −6

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