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 =726−3

Find the determinant det A of the matrix A shown.

A = [7 2; 6 −3]
det A =
2.Easy
A =2−3−2−4

Find the determinant det A of the matrix A shown.

A = [2 −3; −2 −4]
det A =
3.Medium
A =4−13−12−2−241

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

A = [4 −1 3; −1 2 −2; −2 4 1]
det A =
4.Medium
A =−4−4−6−3B =5−64−2

Let C = AB for the matrices shown. Find the entry c21 (row 2, column 1).

A = [−4 −4; −6 −3]B = [5 −6; 4 −2]
c21 =
5.Hard
A =5−29−6

Find the larger eigenvalue λ of the matrix A shown.

A = [5 −2; 9 −6]
λ =
6.Hard
A =−1−21−4b =45

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

−x − 2y = 4x − 4y = 5
x =

Answer key

  1. 1. det A = −33
  2. 2. det A = −14
  3. 3. det A = 35
  4. 4. c21 = −42
  5. 5. λ = 3
  6. 6. x = −1

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