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 =−1−8−53

Find the determinant det A of the matrix A shown.

A = [−1 −8; −5 3]
det A =
2.Easy
A =4295

Find the determinant det A of the matrix A shown.

A = [4 2; 9 5]
det A =
3.Medium
A =−5−6−51B =101−1

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

A = [−5 −6; −5 1]B = [1 0; 1 −1]
c21 =
4.Medium
A =4230−21−235

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

A = [4 2 3; 0 −2 1; −2 3 5]
det A =
5.Hard
A =0462

Find the larger eigenvalue λ of the matrix A shown.

A = [0 4; 6 2]
λ =
6.Hard
A =−355−1b =119

Solve the system −3x + 5y = 11 and 5x − y = 9. Find x.

−3x + 5y = 115x − y = 9
x =

Answer key

  1. 1. det A = −43
  2. 2. det A = 2
  3. 3. c21 = −4
  4. 4. det A = −68
  5. 5. λ = 6
  6. 6. x = 2.545

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