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 =7752

Find the determinant det A of the matrix A shown.

A = [7 7; 5 2]
det A =
2.Easy
A =01−98

Find the determinant det A of the matrix A shown.

A = [0 1; −9 8]
det A =
3.Medium
A =−1−46−5B =−65−22

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

A = [−1 −4; 6 −5]B = [−6 5; −2 2]
c12 =
4.Medium
A =−3−5−4−6B =2656

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

A = [−3 −5; −4 −6]B = [2 6; 5 6]
c21 =
5.Hard
A =4533b =52

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

4x + 5y = 53x + 3y = 2
x =
6.Hard
A =11−46

Find the larger eigenvalue λ of the matrix A shown.

A = [1 1; −4 6]
λ =

Answer key

  1. 1. det A = −21
  2. 2. det A = 9
  3. 3. c12 = −13
  4. 4. c21 = −38
  5. 5. x = −1.667
  6. 6. λ = 5

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