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 =78−48

Find the determinant det A of the matrix A shown.

A = [7 8; −4 8]
det A =
2.Easy
A =9−292

Find the determinant det A of the matrix A shown.

A = [9 −2; 9 2]
det A =
3.Medium
A =−1−1403−5−4−2−5

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

A = [−1 −1 4; 0 3 −5; −4 −2 −5]
det A =
4.Medium
A =−3−5−5−5B =−204−2

Let C = AB for the matrices shown. Find the entry c11 (row 1, column 1).

A = [−3 −5; −5 −5]B = [−2 0; 4 −2]
c11 =
5.Hard
A =−465−3b =−512

Solve the system −4x + 6y = −5 and 5x − 3y = 12. Find x.

−4x + 6y = −55x − 3y = 12
x =
6.Hard
A =−6−415b =3−5

Solve the system −6x − 4y = 3 and x + 5y = −5. Find x.

−6x − 4y = 3x + 5y = −5
x =

Answer key

  1. 1. det A = 88
  2. 2. det A = 36
  3. 3. det A = 53
  4. 4. c11 = −14
  5. 5. x = 3.167
  6. 6. x = 0.1923

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