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 =−74−7−4

Find the determinant det A of the matrix A shown.

A = [−7 4; −7 −4]
det A =
2.Easy
A =0−531

Find the determinant det A of the matrix A shown.

A = [0 −5; 3 1]
det A =
3.Medium
A =−33−4−5B =6−3−11

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

A = [−3 3; −4 −5]B = [6 −3; −1 1]
c21 =
4.Medium
A =1−46−3B =4−62−1

Let C = AB for the matrices shown. Find the entry c11 (row 1, column 1).

A = [1 −4; 6 −3]B = [4 −6; 2 −1]
c11 =
5.Hard
A =−2−479

Find the larger eigenvalue λ of the matrix A shown.

A = [−2 −4; 7 9]
λ =
6.Hard
A =2−1−3−5b =2−4

Solve the system 2x − y = 2 and −3x − 5y = −4. Find x.

2x − y = 2−3x − 5y = −4
x =

Answer key

  1. 1. det A = 56
  2. 2. det A = 15
  3. 3. c21 = −19
  4. 4. c11 = −4
  5. 5. λ = 5
  6. 6. x = 1.077

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