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 =134−8

Find the determinant det A of the matrix A shown.

A = [1 3; 4 −8]
det A =
2.Easy
A =−7610

Find the determinant det A of the matrix A shown.

A = [−7 6; 1 0]
det A =
3.Medium
A =213−1B =2−642

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

A = [2 1; 3 −1]B = [2 −6; 4 2]
c11 =
4.Medium
A =02−32−141−43

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

A = [0 2 −3; 2 −1 4; 1 −4 3]
det A =
5.Hard
A =−16−35b =−121

Solve the system −x + 6y = −12 and −3x + 5y = 1. Find x.

−x + 6y = −12−3x + 5y = 1
x =
6.Hard
A =1281

Find the larger eigenvalue λ of the matrix A shown.

A = [1 2; 8 1]
λ =

Answer key

  1. 1. det A = −20
  2. 2. det A = −6
  3. 3. c11 = 8
  4. 4. det A = 17
  5. 5. x = −5.077
  6. 6. λ = 5

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