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 =−6274

Find the determinant det A of the matrix A shown.

A = [−6 2; 7 4]
det A =
2.Easy
A =0−3−90

Find the determinant det A of the matrix A shown.

A = [0 −3; −9 0]
det A =
3.Medium
A =13−5−12410−1

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

A = [1 3 −5; −1 2 4; 1 0 −1]
det A =
4.Medium
A =4−4−14B =0126

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

A = [4 −4; −1 4]B = [0 1; 2 6]
c12 =
5.Hard
A =4−2−13

Find the larger eigenvalue λ of the matrix A shown.

A = [4 −2; −1 3]
λ =
6.Hard
A =1−1−5−1b =−12−11

Solve the system x − y = −12 and −5x − y = −11. Find x.

x − y = −12−5x − y = −11
x =

Answer key

  1. 1. det A = −38
  2. 2. det A = −27
  3. 3. det A = 17
  4. 4. c12 = −20
  5. 5. λ = 5
  6. 6. x = −0.1667

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