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 =−8043

Find the determinant det A of the matrix A shown.

A = [−8 0; 4 3]
det A =
2.Easy
A =−3−551

Find the determinant det A of the matrix A shown.

A = [−3 −5; 5 1]
det A =
3.Medium
A =23−3−6B =01−5−1

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

A = [2 3; −3 −6]B = [0 1; −5 −1]
c11 =
4.Medium
A =0−2−4−3−251−11

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

A = [0 −2 −4; −3 −2 5; 1 −1 1]
det A =
5.Hard
A =04−3−7

Find the larger eigenvalue λ of the matrix A shown.

A = [0 4; −3 −7]
λ =
6.Hard
A =−1−3−13b =−2−1

Solve the system −x − 3y = −2 and −x + 3y = −1. Find x.

−x − 3y = −2−x + 3y = −1
x =

Answer key

  1. 1. det A = −24
  2. 2. det A = 22
  3. 3. c11 = −15
  4. 4. det A = −36
  5. 5. λ = −3
  6. 6. x = 1.5

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