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 =715−6

Find the determinant det A of the matrix A shown.

A = [7 1; 5 −6]
det A =
2.Easy
A =74−8−4

Find the determinant det A of the matrix A shown.

A = [7 4; −8 −4]
det A =
3.Medium
A =−25−45314−1−4

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

A = [−2 5 −4; 5 3 1; 4 −1 −4]
det A =
4.Medium
A =−5−5−1−2B =2−26−3

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

A = [−5 −5; −1 −2]B = [2 −2; 6 −3]
c11 =
5.Hard
A =1232

Find the larger eigenvalue λ of the matrix A shown.

A = [1 2; 3 2]
λ =
6.Hard
A =−1425b =−211

Solve the system −x + 4y = −2 and 2x + 5y = 11. Find x.

−x + 4y = −22x + 5y = 11
x =

Answer key

  1. 1. det A = −47
  2. 2. det A = 4
  3. 3. det A = 210
  4. 4. c11 = −40
  5. 5. λ = 4
  6. 6. x = 4.154

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