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 =−1−5−3−9

Find the determinant det A of the matrix A shown.

A = [−1 −5; −3 −9]
det A =
2.Easy
A =−38−1−8

Find the determinant det A of the matrix A shown.

A = [−3 8; −1 −8]
det A =
3.Medium
A =2−532−10−5−31

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

A = [2 −5 3; 2 −1 0; −5 −3 1]
det A =
4.Medium
A =64−4−2B =−1−5−24

Let C = AB for the matrices shown. Find the entry c21 (row 2, column 1).

A = [6 4; −4 −2]B = [−1 −5; −2 4]
c21 =
5.Hard
A =4125

Find the larger eigenvalue λ of the matrix A shown.

A = [4 1; 2 5]
λ =
6.Hard
A =−1−1−53b =34

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

−x − y = 3−5x + 3y = 4
x =

Answer key

  1. 1. det A = −6
  2. 2. det A = 32
  3. 3. det A = −25
  4. 4. c21 = 8
  5. 5. λ = 6
  6. 6. x = −1.625

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