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 =−4485

Find the determinant det A of the matrix A shown.

A = [−4 4; 8 5]
det A =
2.Easy
A =1973

Find the determinant det A of the matrix A shown.

A = [1 9; 7 3]
det A =
3.Medium
A =−521−2−1−4−103

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

A = [−5 2 1; −2 −1 −4; −1 0 3]
det A =
4.Medium
A =6−5−4−3B =−326−5

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

A = [6 −5; −4 −3]B = [−3 2; 6 −5]
c22 =
5.Hard
A =−51−54b =−3−10

Solve the system −5x + y = −3 and −5x + 4y = −10. Find x.

−5x + y = −3−5x + 4y = −10
x =
6.Hard
A =−2−451b =−3−11

Solve the system −2x − 4y = −3 and 5x + y = −11. Find x.

−2x − 4y = −35x + y = −11
x =

Answer key

  1. 1. det A = −52
  2. 2. det A = −60
  3. 3. det A = 34
  4. 4. c22 = 7
  5. 5. x = 0.1333
  6. 6. x = −2.611

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