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 =4−7−79

Find the determinant det A of the matrix A shown.

A = [4 −7; −7 9]
det A =
2.Easy
A =−3−10−4

Find the determinant det A of the matrix A shown.

A = [−3 −1; 0 −4]
det A =
3.Medium
A =−4−4−40−2−4−32−2

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

A = [−4 −4 −4; 0 −2 −4; −3 2 −2]
det A =
4.Medium
A =−2−6−1−6B =5−1−43

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

A = [−2 −6; −1 −6]B = [5 −1; −4 3]
c22 =
5.Hard
A =5160

Find the larger eigenvalue λ of the matrix A shown.

A = [5 1; 6 0]
λ =
6.Hard
A =−6−5−65b =−6−11

Solve the system −6x − 5y = −6 and −6x + 5y = −11. Find x.

−6x − 5y = −6−6x + 5y = −11
x =

Answer key

  1. 1. det A = −13
  2. 2. det A = 12
  3. 3. det A = −72
  4. 4. c22 = −17
  5. 5. λ = 6
  6. 6. x = 1.417

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