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 =−97−62

Find the determinant det A of the matrix A shown.

A = [−9 7; −6 2]
det A =
2.Easy
A =89−87

Find the determinant det A of the matrix A shown.

A = [8 9; −8 7]
det A =
3.Medium
A =6420B =4−425

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

A = [6 4; 2 0]B = [4 −4; 2 5]
c21 =
4.Medium
A =−5−53115−4−3−1

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

A = [−5 −5 3; 1 1 5; −4 −3 −1]
det A =
5.Hard
A =41−2−3b =76

Solve the system 4x + y = 7 and −2x − 3y = 6. Find x.

4x + y = 7−2x − 3y = 6
x =
6.Hard
A =−611−3b =6−8

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

−6x + y = 6x − 3y = −8
x =

Answer key

  1. 1. det A = 24
  2. 2. det A = 128
  3. 3. c21 = 8
  4. 4. det A = 28
  5. 5. x = 2.7
  6. 6. x = −0.5882

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