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 =1−5−77

Find the determinant det A of the matrix A shown.

A = [1 −5; −7 7]
det A =
2.Easy
A =−9−7−30

Find the determinant det A of the matrix A shown.

A = [−9 −7; −3 0]
det A =
3.Medium
A =−3−356B =−1403

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

A = [−3 −3; 5 6]B = [−1 4; 0 3]
c11 =
4.Medium
A =5−64−2B =00−60

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

A = [5 −6; 4 −2]B = [0 0; −6 0]
c21 =
5.Hard
A =45−46b =−44

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

4x + 5y = −4−4x + 6y = 4
x =
6.Hard
A =−132−2

Find the larger eigenvalue λ of the matrix A shown.

A = [−1 3; 2 −2]
λ =

Answer key

  1. 1. det A = −28
  2. 2. det A = −21
  3. 3. c11 = 3
  4. 4. c21 = 12
  5. 5. x = −1
  6. 6. λ = 1

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