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 =−86−8−7

Find the determinant det A of the matrix A shown.

A = [−8 6; −8 −7]
det A =
2.Easy
A =4511

Find the determinant det A of the matrix A shown.

A = [4 5; 1 1]
det A =
3.Medium
A =−20014−32−50

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

A = [−2 0 0; 1 4 −3; 2 −5 0]
det A =
4.Medium
A =−2−6−55B =−1306

Let C = AB for the matrices shown. Find the entry c22 (row 2, column 2).

A = [−2 −6; −5 5]B = [−1 3; 0 6]
c22 =
5.Hard
A =11−5−3b =8−4

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

x + y = 8−5x − 3y = −4
x =
6.Hard
A =5−44−5

Find the larger eigenvalue λ of the matrix A shown.

A = [5 −4; 4 −5]
λ =

Answer key

  1. 1. det A = 104
  2. 2. det A = −1
  3. 3. det A = 30
  4. 4. c22 = 15
  5. 5. x = −10
  6. 6. λ = 3

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