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 =77−32

Find the determinant det A of the matrix A shown.

A = [7 7; −3 2]
det A =
2.Easy
A =200−6

Find the determinant det A of the matrix A shown.

A = [2 0; 0 −6]
det A =
3.Medium
A =−155−6B =20−4−6

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

A = [−1 5; 5 −6]B = [2 0; −4 −6]
c12 =
4.Medium
A =2−1−4−4−35−5−13

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

A = [2 −1 −4; −4 −3 5; −5 −1 3]
det A =
5.Hard
A =1243b =−311

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

x + 2y = −34x + 3y = 11
x =
6.Hard
A =−132−2

Find the larger eigenvalue λ of the matrix A shown.

A = [−1 3; 2 −2]
λ =

Answer key

  1. 1. det A = 35
  2. 2. det A = −12
  3. 3. c12 = −30
  4. 4. det A = 49
  5. 5. x = 6.2
  6. 6. λ = 1

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