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 =−7−865

Find the determinant det A of the matrix A shown.

A = [−7 −8; 6 5]
det A =
2.Easy
A =958−3

Find the determinant det A of the matrix A shown.

A = [9 5; 8 −3]
det A =
3.Medium
A =−1−2−6−2B =1−4−26

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

A = [−1 −2; −6 −2]B = [1 −4; −2 6]
c12 =
4.Medium
A =2−2253−30−2−3

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

A = [2 −2 2; 5 3 −3; 0 −2 −3]
det A =
5.Hard
A =5222

Find the larger eigenvalue λ of the matrix A shown.

A = [5 2; 2 2]
λ =
6.Hard
A =2−1−5−4b =−1−2

Solve the system 2x − y = −1 and −5x − 4y = −2. Find x.

2x − y = −1−5x − 4y = −2
x =

Answer key

  1. 1. det A = 13
  2. 2. det A = −67
  3. 3. c12 = −8
  4. 4. det A = −80
  5. 5. λ = 6
  6. 6. x = −0.1538

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