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 =5159

Find the determinant det A of the matrix A shown.

A = [5 1; 5 9]
det A =
2.Easy
A =3−85−1

Find the determinant det A of the matrix A shown.

A = [3 −8; 5 −1]
det A =
3.Medium
A =033130−4−5−5

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

A = [0 3 3; 1 3 0; −4 −5 −5]
det A =
4.Medium
A =5−63−2B =−2−4−1−4

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

A = [5 −6; 3 −2]B = [−2 −4; −1 −4]
c21 =
5.Hard
A =0−4−40

Find the larger eigenvalue λ of the matrix A shown.

A = [0 −4; −4 0]
λ =
6.Hard
A =−55−54b =−11−10

Solve the system −5x + 5y = −11 and −5x + 4y = −10. Find x.

−5x + 5y = −11−5x + 4y = −10
x =

Answer key

  1. 1. det A = 40
  2. 2. det A = 37
  3. 3. det A = 36
  4. 4. c21 = −4
  5. 5. λ = 4
  6. 6. x = 1.2

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