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 =−7−2−95

Find the determinant det A of the matrix A shown.

A = [−7 −2; −9 5]
det A =
2.Easy
A =−81−10

Find the determinant det A of the matrix A shown.

A = [−8 1; −1 0]
det A =
3.Medium
A =3324−430−22

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

A = [3 3 2; 4 −4 3; 0 −2 2]
det A =
4.Medium
A =0−62−2B =−4455

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

A = [0 −6; 2 −2]B = [−4 4; 5 5]
c11 =
5.Hard
A =−2−176

Find the larger eigenvalue λ of the matrix A shown.

A = [−2 −1; 7 6]
λ =
6.Hard
A =−2532b =−12−4

Solve the system −2x + 5y = −12 and 3x + 2y = −4. Find x.

−2x + 5y = −123x + 2y = −4
x =

Answer key

  1. 1. det A = −53
  2. 2. det A = 1
  3. 3. det A = −46
  4. 4. c11 = −30
  5. 5. λ = 5
  6. 6. x = 0.2105

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