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 =−5−3−5−9

Find the determinant det A of the matrix A shown.

A = [−5 −3; −5 −9]
det A =
2.Easy
A =1−360

Find the determinant det A of the matrix A shown.

A = [1 −3; 6 0]
det A =
3.Medium
A =1125B =−6−144

Let C = AB for the matrices shown. Find the entry c22 (row 2, column 2).

A = [1 1; 2 5]B = [−6 −1; 4 4]
c22 =
4.Medium
A =−5−2−5−5−22−5−1−3

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

A = [−5 −2 −5; −5 −2 2; −5 −1 −3]
det A =
5.Hard
A =0−1−21

Find the larger eigenvalue λ of the matrix A shown.

A = [0 −1; −2 1]
λ =
6.Hard
A =−3−531b =117

Solve the system −3x − 5y = 11 and 3x + y = 7. Find x.

−3x − 5y = 113x + y = 7
x =

Answer key

  1. 1. det A = 30
  2. 2. det A = 18
  3. 3. c22 = 18
  4. 4. det A = 35
  5. 5. λ = 2
  6. 6. x = 3.833

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