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 =7025

Find the determinant det A of the matrix A shown.

A = [7 0; 2 5]
det A =
2.Easy
A =−348−8

Find the determinant det A of the matrix A shown.

A = [−3 4; 8 −8]
det A =
3.Medium
A =41−12B =1−433

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

A = [4 1; −1 2]B = [1 −4; 3 3]
c12 =
4.Medium
A =−2−205314−50

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

A = [−2 −2 0; 5 3 1; 4 −5 0]
det A =
5.Hard
A =−5534b =−10−6

Solve the system −5x + 5y = −10 and 3x + 4y = −6. Find x.

−5x + 5y = −103x + 4y = −6
x =
6.Hard
A =4−64−3b =−9−3

Solve the system 4x − 6y = −9 and 4x − 3y = −3. Find x.

4x − 6y = −94x − 3y = −3
x =

Answer key

  1. 1. det A = 35
  2. 2. det A = −8
  3. 3. c12 = −13
  4. 4. det A = −18
  5. 5. x = 0.2857
  6. 6. x = 0.75

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