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 =−9937

Find the determinant det A of the matrix A shown.

A = [−9 9; 3 7]
det A =
2.Easy
A =−58−4−7

Find the determinant det A of the matrix A shown.

A = [−5 8; −4 −7]
det A =
3.Medium
A =−1−5−5−2215−25

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

A = [−1 −5 −5; −2 2 1; 5 −2 5]
det A =
4.Medium
A =−3640B =−412−6

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

A = [−3 6; 4 0]B = [−4 1; 2 −6]
c12 =
5.Hard
A =3214

Find the larger eigenvalue λ of the matrix A shown.

A = [3 2; 1 4]
λ =
6.Hard
A =21−31b =11−10

Solve the system 2x + y = 11 and −3x + y = −10. Find x.

2x + y = 11−3x + y = −10
x =

Answer key

  1. 1. det A = −90
  2. 2. det A = 67
  3. 3. det A = −57
  4. 4. c12 = −39
  5. 5. λ = 5
  6. 6. x = 4.2

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