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 =9−848

Find the determinant det A of the matrix A shown.

A = [9 −8; 4 8]
det A =
2.Easy
A =8−82−1

Find the determinant det A of the matrix A shown.

A = [8 −8; 2 −1]
det A =
3.Medium
A =466−6B =−16−10

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

A = [4 6; 6 −6]B = [−1 6; −1 0]
c12 =
4.Medium
A =412−5252−1−3

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

A = [4 1 2; −5 2 5; 2 −1 −3]
det A =
5.Hard
A =2644b =11−3

Solve the system 2x + 6y = 11 and 4x + 4y = −3. Find x.

2x + 6y = 114x + 4y = −3
x =
6.Hard
A =0280

Find the larger eigenvalue λ of the matrix A shown.

A = [0 2; 8 0]
λ =

Answer key

  1. 1. det A = 104
  2. 2. det A = 8
  3. 3. c12 = 24
  4. 4. det A = −7
  5. 5. x = −3.875
  6. 6. λ = 4

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