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 =538−8

Find the determinant det A of the matrix A shown.

A = [5 3; 8 −8]
det A =
2.Easy
A =746−1

Find the determinant det A of the matrix A shown.

A = [7 4; 6 −1]
det A =
3.Medium
A =21−510−35−4−1

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

A = [2 1 −5; 1 0 −3; 5 −4 −1]
det A =
4.Medium
A =34−52B =135−5

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

A = [3 4; −5 2]B = [1 3; 5 −5]
c21 =
5.Hard
A =−1153

Find the larger eigenvalue λ of the matrix A shown.

A = [−1 1; 5 3]
λ =
6.Hard
A =−6−66−4b =70

Solve the system −6x − 6y = 7 and 6x − 4y = 0. Find x.

−6x − 6y = 76x − 4y = 0
x =

Answer key

  1. 1. det A = −64
  2. 2. det A = −31
  3. 3. det A = −18
  4. 4. c21 = 5
  5. 5. λ = 4
  6. 6. x = −0.4667

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