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 =20−71

Find the determinant det A of the matrix A shown.

A = [2 0; −7 1]
det A =
2.Easy
A =−8−99−2

Find the determinant det A of the matrix A shown.

A = [−8 −9; 9 −2]
det A =
3.Medium
A =−25−4−2114−4−3

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

A = [−2 5 −4; −2 1 1; 4 −4 −3]
det A =
4.Medium
A =03−5−1B =−3625

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

A = [0 3; −5 −1]B = [−3 6; 2 5]
c22 =
5.Hard
A =2635b =−30

Solve the system 2x + 6y = −3 and 3x + 5y = 0. Find x.

2x + 6y = −33x + 5y = 0
x =
6.Hard
A =−2251

Find the larger eigenvalue λ of the matrix A shown.

A = [−2 2; 5 1]
λ =

Answer key

  1. 1. det A = 2
  2. 2. det A = 97
  3. 3. det A = −28
  4. 4. c22 = −35
  5. 5. x = 1.875
  6. 6. λ = 3

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