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 =06−8−9

Find the determinant det A of the matrix A shown.

A = [0 6; −8 −9]
det A =
2.Easy
A =−6−52−8

Find the determinant det A of the matrix A shown.

A = [−6 −5; 2 −8]
det A =
3.Medium
A =0−45−1B =50−6−5

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

A = [0 −4; 5 −1]B = [5 0; −6 −5]
c21 =
4.Medium
A =−3101−31154

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

A = [−3 1 0; 1 −3 1; 1 5 4]
det A =
5.Hard
A =2411b =2−7

Solve the system 2x + 4y = 2 and x + y = −7. Find x.

2x + 4y = 2x + y = −7
x =
6.Hard
A =−2−479

Find the larger eigenvalue λ of the matrix A shown.

A = [−2 −4; 7 9]
λ =

Answer key

  1. 1. det A = 48
  2. 2. det A = 58
  3. 3. c21 = 31
  4. 4. det A = 48
  5. 5. x = −15
  6. 6. λ = 5

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