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 =−9343

Find the determinant det A of the matrix A shown.

A = [−9 3; 4 3]
det A =
2.Easy
A =7748

Find the determinant det A of the matrix A shown.

A = [7 7; 4 8]
det A =
3.Medium
A =−2−4001−2−523

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

A = [−2 −4 0; 0 1 −2; −5 2 3]
det A =
4.Medium
A =3−5−32B =110−1

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

A = [3 −5; −3 2]B = [1 1; 0 −1]
c22 =
5.Hard
A =2−1−63

Find the larger eigenvalue λ of the matrix A shown.

A = [2 −1; −6 3]
λ =
6.Hard
A =−2−114b =3−6

Solve the system −2x − y = 3 and x + 4y = −6. Find x.

−2x − y = 3x + 4y = −6
x =

Answer key

  1. 1. det A = −39
  2. 2. det A = 28
  3. 3. det A = −54
  4. 4. c22 = −5
  5. 5. λ = 5
  6. 6. x = −0.8571

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