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 =−56−29

Find the determinant det A of the matrix A shown.

A = [−5 6; −2 9]
det A =
2.Easy
A =−2−6−82

Find the determinant det A of the matrix A shown.

A = [−2 −6; −8 2]
det A =
3.Medium
A =6−450B =−4052

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

A = [6 −4; 5 0]B = [−4 0; 5 2]
c12 =
4.Medium
A =5524551−2−5

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

A = [5 5 2; 4 5 5; 1 −2 −5]
det A =
5.Hard
A =2123

Find the larger eigenvalue λ of the matrix A shown.

A = [2 1; 2 3]
λ =
6.Hard
A =−661−4b =−1−3

Solve the system −6x + 6y = −1 and x − 4y = −3. Find x.

−6x + 6y = −1x − 4y = −3
x =

Answer key

  1. 1. det A = −33
  2. 2. det A = −52
  3. 3. c12 = −8
  4. 4. det A = 24
  5. 5. λ = 4
  6. 6. x = 1.222

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