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 =−48−6−7

Find the determinant det A of the matrix A shown.

A = [−4 8; −6 −7]
det A =
2.Easy
A =2−236

Find the determinant det A of the matrix A shown.

A = [2 −2; 3 6]
det A =
3.Medium
A =325−151255

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

A = [3 2 5; −1 5 1; 2 5 5]
det A =
4.Medium
A =2−22−4B =5504

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

A = [2 −2; 2 −4]B = [5 5; 0 4]
c22 =
5.Hard
A =5−3−6−2b =−38

Solve the system 5x − 3y = −3 and −6x − 2y = 8. Find x.

5x − 3y = −3−6x − 2y = 8
x =
6.Hard
A =−33−55

Find the larger eigenvalue λ of the matrix A shown.

A = [−3 3; −5 5]
λ =

Answer key

  1. 1. det A = 76
  2. 2. det A = 18
  3. 3. det A = −1
  4. 4. c22 = −6
  5. 5. x = −1.071
  6. 6. λ = 2

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