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 =7−5−1−8

Find the determinant det A of the matrix A shown.

A = [7 −5; −1 −8]
det A =
2.Easy
A =−6601

Find the determinant det A of the matrix A shown.

A = [−6 6; 0 1]
det A =
3.Medium
A =3−13−5B =01−4−6

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

A = [3 −1; 3 −5]B = [0 1; −4 −6]
c12 =
4.Medium
A =−21−60B =33−2−4

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

A = [−2 1; −6 0]B = [3 3; −2 −4]
c11 =
5.Hard
A =−52−32b =54

Solve the system −5x + 2y = 5 and −3x + 2y = 4. Find x.

−5x + 2y = 5−3x + 2y = 4
x =
6.Hard
A =−33−54b =−8−7

Solve the system −3x + 3y = −8 and −5x + 4y = −7. Find x.

−3x + 3y = −8−5x + 4y = −7
x =

Answer key

  1. 1. det A = −61
  2. 2. det A = −6
  3. 3. c12 = 9
  4. 4. c11 = −8
  5. 5. x = −0.5
  6. 6. x = −3.667

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