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 =38−94

Find the determinant det A of the matrix A shown.

A = [3 8; −9 4]
det A =
2.Easy
A =−7292

Find the determinant det A of the matrix A shown.

A = [−7 2; 9 2]
det A =
3.Medium
A =051−3−5−15−1−3

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

A = [0 5 1; −3 −5 −1; 5 −1 −3]
det A =
4.Medium
A =6−5−4−1B =−3−515

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

A = [6 −5; −4 −1]B = [−3 −5; 1 5]
c12 =
5.Hard
A =−1−4−12

Find the larger eigenvalue λ of the matrix A shown.

A = [−1 −4; −1 2]
λ =
6.Hard
A =5552b =97

Solve the system 5x + 5y = 9 and 5x + 2y = 7. Find x.

5x + 5y = 95x + 2y = 7
x =

Answer key

  1. 1. det A = 84
  2. 2. det A = −32
  3. 3. det A = −42
  4. 4. c12 = −55
  5. 5. λ = 3
  6. 6. x = 1.133

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