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 =4734

Find the determinant det A of the matrix A shown.

A = [4 7; 3 4]
det A =
2.Easy
A =−3−22−6

Find the determinant det A of the matrix A shown.

A = [−3 −2; 2 −6]
det A =
3.Medium
A =−32−3−2B =−1−4−33

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

A = [−3 2; −3 −2]B = [−1 −4; −3 3]
c11 =
4.Medium
A =13−4−3−43−1−5−2

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

A = [1 3 −4; −3 −4 3; −1 −5 −2]
det A =
5.Hard
A =56−9−10

Find the larger eigenvalue λ of the matrix A shown.

A = [5 6; −9 −10]
λ =
6.Hard
A =−13−5−4b =41

Solve the system −x + 3y = 4 and −5x − 4y = 1. Find x.

−x + 3y = 4−5x − 4y = 1
x =

Answer key

  1. 1. det A = −5
  2. 2. det A = 22
  3. 3. c11 = −3
  4. 4. det A = −48
  5. 5. λ = −1
  6. 6. x = −1

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