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 =586−2

Find the determinant det A of the matrix A shown.

A = [5 8; 6 −2]
det A =
2.Easy
A =26−10

Find the determinant det A of the matrix A shown.

A = [2 6; −1 0]
det A =
3.Medium
A =−3−5−3−234445

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

A = [−3 −5 −3; −2 3 4; 4 4 5]
det A =
4.Medium
A =−11−63B =1044

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

A = [−1 1; −6 3]B = [1 0; 4 4]
c11 =
5.Hard
A =1−25−6

Find the larger eigenvalue λ of the matrix A shown.

A = [1 −2; 5 −6]
λ =
6.Hard
A =−6−5−21b =−73

Solve the system −6x − 5y = −7 and −2x + y = 3. Find x.

−6x − 5y = −7−2x + y = 3
x =

Answer key

  1. 1. det A = −58
  2. 2. det A = 6
  3. 3. det A = −67
  4. 4. c11 = 3
  5. 5. λ = −1
  6. 6. x = −0.5

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