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 =−1−9−46

Find the determinant det A of the matrix A shown.

A = [−1 −9; −4 6]
det A =
2.Easy
A =6−1−9−2

Find the determinant det A of the matrix A shown.

A = [6 −1; −9 −2]
det A =
3.Medium
A =4−1−40B =1−350

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

A = [4 −1; −4 0]B = [1 −3; 5 0]
c11 =
4.Medium
A =−244−35−3−31−2

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

A = [−2 4 4; −3 5 −3; −3 1 −2]
det A =
5.Hard
A =−2425

Find the larger eigenvalue λ of the matrix A shown.

A = [−2 4; 2 5]
λ =
6.Hard
A =626−1b =35

Solve the system 6x + 2y = 3 and 6x − y = 5. Find x.

6x + 2y = 36x − y = 5
x =

Answer key

  1. 1. det A = −42
  2. 2. det A = −21
  3. 3. c11 = −1
  4. 4. det A = 74
  5. 5. λ = 6
  6. 6. x = 0.7222

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