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 =−6−388

Find the determinant det A of the matrix A shown.

A = [−6 −3; 8 8]
det A =
2.Easy
A =−9−912

Find the determinant det A of the matrix A shown.

A = [−9 −9; 1 2]
det A =
3.Medium
A =24−46B =50−3−6

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

A = [2 4; −4 6]B = [5 0; −3 −6]
c21 =
4.Medium
A =−53−3−4−23−542

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

A = [−5 3 −3; −4 −2 3; −5 4 2]
det A =
5.Hard
A =1524b =−5−7

Solve the system x + 5y = −5 and 2x + 4y = −7. Find x.

x + 5y = −52x + 4y = −7
x =
6.Hard
A =266−2b =45

Solve the system 2x + 6y = 4 and 6x − 2y = 5. Find x.

2x + 6y = 46x − 2y = 5
x =

Answer key

  1. 1. det A = −24
  2. 2. det A = −9
  3. 3. c21 = −38
  4. 4. det A = 137
  5. 5. x = −2.5
  6. 6. x = 0.95

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