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 =−13−20

Find the determinant det A of the matrix A shown.

A = [−1 3; −2 0]
det A =
2.Easy
A =9268

Find the determinant det A of the matrix A shown.

A = [9 2; 6 8]
det A =
3.Medium
A =−3−430−20435

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

A = [−3 −4 3; 0 −2 0; 4 3 5]
det A =
4.Medium
A =−1653B =0−530

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

A = [−1 6; 5 3]B = [0 −5; 3 0]
c12 =
5.Hard
A =−3−478

Find the larger eigenvalue λ of the matrix A shown.

A = [−3 −4; 7 8]
λ =
6.Hard
A =5−151b =−3−2

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

5x − y = −35x + y = −2
x =

Answer key

  1. 1. det A = 6
  2. 2. det A = 60
  3. 3. det A = 54
  4. 4. c12 = 5
  5. 5. λ = 4
  6. 6. x = −0.5

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