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 =−9798

Find the determinant det A of the matrix A shown.

A = [−9 7; 9 8]
det A =
2.Easy
A =28−6−1

Find the determinant det A of the matrix A shown.

A = [2 8; −6 −1]
det A =
3.Medium
A =−30−41B =−62−6−1

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

A = [−3 0; −4 1]B = [−6 2; −6 −1]
c11 =
4.Medium
A =−4−24−5−2−3322

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

A = [−4 −2 4; −5 −2 −3; 3 2 2]
det A =
5.Hard
A =024−2

Find the larger eigenvalue λ of the matrix A shown.

A = [0 2; 4 −2]
λ =
6.Hard
A =−4235b =−8−6

Solve the system −4x + 2y = −8 and 3x + 5y = −6. Find x.

−4x + 2y = −83x + 5y = −6
x =

Answer key

  1. 1. det A = −135
  2. 2. det A = 46
  3. 3. c11 = 18
  4. 4. det A = −26
  5. 5. λ = 2
  6. 6. x = 1.077

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