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 =−963−3

Find the determinant det A of the matrix A shown.

A = [−9 6; 3 −3]
det A =
2.Easy
A =−1−9−3−7

Find the determinant det A of the matrix A shown.

A = [−1 −9; −3 −7]
det A =
3.Medium
A =0−12−23−3325

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

A = [0 −1 2; −2 3 −3; 3 2 5]
det A =
4.Medium
A =64−3−6B =56−13

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

A = [6 4; −3 −6]B = [5 6; −1 3]
c12 =
5.Hard
A =−6−2−2−6b =−25

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

−6x − 2y = −2−2x − 6y = 5
x =
6.Hard
A =2460

Find the larger eigenvalue λ of the matrix A shown.

A = [2 4; 6 0]
λ =

Answer key

  1. 1. det A = 9
  2. 2. det A = −20
  3. 3. det A = −27
  4. 4. c12 = 48
  5. 5. x = 0.6875
  6. 6. λ = 6

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