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 =5777

Find the determinant det A of the matrix A shown.

A = [5 7; 7 7]
det A =
2.Easy
A =−367−1

Find the determinant det A of the matrix A shown.

A = [−3 6; 7 −1]
det A =
3.Medium
A =−44−34−1−52−15

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

A = [−4 4 −3; 4 −1 −5; 2 −1 5]
det A =
4.Medium
A =31−33B =0−44−5

Let C = AB for the matrices shown. Find the entry c12 (row 1, column 2).

A = [3 1; −3 3]B = [0 −4; 4 −5]
c12 =
5.Hard
A =1−6−24b =12−7

Solve the system x − 6y = 12 and −2x + 4y = −7. Find x.

x − 6y = 12−2x + 4y = −7
x =
6.Hard
A =1−24−5

Find the larger eigenvalue λ of the matrix A shown.

A = [1 −2; 4 −5]
λ =

Answer key

  1. 1. det A = −14
  2. 2. det A = −39
  3. 3. det A = −74
  4. 4. c12 = −17
  5. 5. x = −0.75
  6. 6. λ = −1

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