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 =−6−72−8

Find the determinant det A of the matrix A shown.

A = [−6 −7; 2 −8]
det A =
2.Easy
A =24−44

Find the determinant det A of the matrix A shown.

A = [2 4; −4 4]
det A =
3.Medium
A =−4000B =−3−106

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

A = [−4 0; 0 0]B = [−3 −1; 0 6]
c11 =
4.Medium
A =−2−341−4−45−4−2

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

A = [−2 −3 4; 1 −4 −4; 5 −4 −2]
det A =
5.Hard
A =−15−1−5b =125

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

−x + 5y = 12−x − 5y = 5
x =
6.Hard
A =−25−36b =−112

Solve the system −2x + 5y = −11 and −3x + 6y = 2. Find x.

−2x + 5y = −11−3x + 6y = 2
x =

Answer key

  1. 1. det A = 62
  2. 2. det A = 24
  3. 3. c11 = 12
  4. 4. det A = 134
  5. 5. x = −8.5
  6. 6. x = −25.33

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