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 =−9−6−8−4

Find the determinant det A of the matrix A shown.

A = [−9 −6; −8 −4]
det A =
2.Easy
A =−35−3−4

Find the determinant det A of the matrix A shown.

A = [−3 5; −3 −4]
det A =
3.Medium
A =0−3−5−1B =−5502

Let C = AB for the matrices shown. Find the entry c21 (row 2, column 1).

A = [0 −3; −5 −1]B = [−5 5; 0 2]
c21 =
4.Medium
A =−5−1−33−11−200

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

A = [−5 −1 −3; 3 −1 1; −2 0 0]
det A =
5.Hard
A =3622

Find the larger eigenvalue λ of the matrix A shown.

A = [3 6; 2 2]
λ =
6.Hard
A =2355b =1−7

Solve the system 2x + 3y = 1 and 5x + 5y = −7. Find x.

2x + 3y = 15x + 5y = −7
x =

Answer key

  1. 1. det A = −12
  2. 2. det A = 27
  3. 3. c21 = 25
  4. 4. det A = 8
  5. 5. λ = 6
  6. 6. x = −5.2

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