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 =2−828

Find the determinant det A of the matrix A shown.

A = [2 −8; 2 8]
det A =
2.Easy
A =−3−3−47

Find the determinant det A of the matrix A shown.

A = [−3 −3; −4 7]
det A =
3.Medium
A =30431−50−20

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

A = [3 0 4; 3 1 −5; 0 −2 0]
det A =
4.Medium
A =62−2−5B =−20−43

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

A = [6 2; −2 −5]B = [−2 0; −4 3]
c21 =
5.Hard
A =−1665b =3−9

Solve the system −x + 6y = 3 and 6x + 5y = −9. Find x.

−x + 6y = 36x + 5y = −9
x =
6.Hard
A =21−25

Find the larger eigenvalue λ of the matrix A shown.

A = [2 1; −2 5]
λ =

Answer key

  1. 1. det A = 32
  2. 2. det A = −33
  3. 3. det A = −54
  4. 4. c21 = 24
  5. 5. x = −1.683
  6. 6. λ = 4

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