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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Name: ____________________   Date: ____________

1.Easy
A =−4−9−7−4

Find the determinant det A of the matrix A shown.

A = [−4 −9; −7 −4]
det A =
2.Easy
A =1−757

Find the determinant det A of the matrix A shown.

A = [1 −7; 5 7]
det A =
3.Medium
A =36−53B =3−60−4

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

A = [3 6; −5 3]B = [3 −6; 0 −4]
c22 =
4.Medium
A =05−2−55453−1

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

A = [0 5 −2; −5 5 4; 5 3 −1]
det A =
5.Hard
A =332−2

Find the larger eigenvalue λ of the matrix A shown.

A = [3 3; 2 −2]
λ =
6.Hard
A =−66−31b =−6−6

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

−6x + 6y = −6−3x + y = −6
x =

Answer key

  1. 1. det A = −47
  2. 2. det A = 42
  3. 3. c22 = 18
  4. 4. det A = 155
  5. 5. λ = 4
  6. 6. x = 2.5

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