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 =−58−9−2

Find the determinant det A of the matrix A shown.

A = [−5 8; −9 −2]
det A =
2.Easy
A =7−82−5

Find the determinant det A of the matrix A shown.

A = [7 −8; 2 −5]
det A =
3.Medium
A =01−2−3B =−5432

Let C = AB for the matrices shown. Find the entry c11 (row 1, column 1).

A = [0 1; −2 −3]B = [−5 4; 3 2]
c11 =
4.Medium
A =−525−3−53−255

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

A = [−5 2 5; −3 −5 3; −2 5 5]
det A =
5.Hard
A =3−2−14

Find the larger eigenvalue λ of the matrix A shown.

A = [3 −2; −1 4]
λ =
6.Hard
A =2342b =−116

Solve the system 2x + 3y = −11 and 4x + 2y = 6. Find x.

2x + 3y = −114x + 2y = 6
x =

Answer key

  1. 1. det A = 82
  2. 2. det A = −19
  3. 3. c11 = 3
  4. 4. det A = 93
  5. 5. λ = 5
  6. 6. x = 5

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