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 =6246

Find the determinant det A of the matrix A shown.

A = [6 2; 4 6]
det A =
2.Easy
A =57−4−7

Find the determinant det A of the matrix A shown.

A = [5 7; −4 −7]
det A =
3.Medium
A =−34−53B =4−111

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

A = [−3 4; −5 3]B = [4 −1; 1 1]
c22 =
4.Medium
A =−45−2101−1−4−3

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

A = [−4 5 −2; 1 0 1; −1 −4 −3]
det A =
5.Hard
A =−1433b =−3−11

Solve the system −x + 4y = −3 and 3x + 3y = −11. Find x.

−x + 4y = −33x + 3y = −11
x =
6.Hard
A =2−1−44b =4−11

Solve the system 2x − y = 4 and −4x + 4y = −11. Find x.

2x − y = 4−4x + 4y = −11
x =

Answer key

  1. 1. det A = 28
  2. 2. det A = −7
  3. 3. c22 = 8
  4. 4. det A = 2
  5. 5. x = −2.333
  6. 6. x = 1.25

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