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 =−5891

Find the determinant det A of the matrix A shown.

A = [−5 8; 9 1]
det A =
2.Easy
A =7−3−5−2

Find the determinant det A of the matrix A shown.

A = [7 −3; −5 −2]
det A =
3.Medium
A =−2524B =−21−6−1

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

A = [−2 5; 2 4]B = [−2 1; −6 −1]
c21 =
4.Medium
A =−5−3−1−1−4−5422

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

A = [−5 −3 −1; −1 −4 −5; 4 2 2]
det A =
5.Hard
A =2−1−23

Find the larger eigenvalue λ of the matrix A shown.

A = [2 −1; −2 3]
λ =
6.Hard
A =−1461b =−4−2

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

−x + 4y = −46x + y = −2
x =

Answer key

  1. 1. det A = −77
  2. 2. det A = −29
  3. 3. c21 = −28
  4. 4. det A = 30
  5. 5. λ = 4
  6. 6. x = −0.16

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