Worksheet: Cofactor Matrix

In this worksheet, we will practice finding the matrix of cofactors of a given square matrix A.

Q1:

Find the cofactor matrix of

  • A 4 8 2 4 1 2 8 5 6 2 8 4 6 3 8 6 4
  • B 7 5 8 3 7 2 0 4 8
  • C 4 8 8 4 6 2 4 5 6 3 8 1 2 2 8 6 4
  • D 4 8 2 4 1 2 8 5 6 2 8 4 6 3 8 6 4

Q2:

Given that determine the value of 𝐴 1 2 .

Q3:

Find the cofactor matrix of

  • A 9 4 5 2 4 1 5 2 7 2 8 5 4 3 6 4 2
  • B 7 7 3 9 3 9 2 2 3
  • C 9 1 5 5 4 4 5 2 7 3 6 2 4 2 8 4 2
  • D 9 4 5 2 4 1 5 2 7 2 8 5 4 3 6 4 2

Q4:

Find the cofactor matrix of

  • A 4 8 3 0 7 2 6 3 3 9 2 8 7 7
  • B 1 1 3 1 8 4 9 0 6
  • C 4 8 6 2 8 3 0 3 3 7 7 2 9 7
  • D 4 8 3 0 7 2 6 3 3 9 2 8 7 7

Q5:

Find the cofactor matrix of

  • A 6 2 3 2 2 2 1 0 1 0 1 0 1 4 4 9
  • B 1 1 2 4 5 4 2 8 6
  • C 6 2 1 0 1 4 3 2 1 0 4 2 2 1 0 9
  • D 6 2 3 2 2 2 1 0 1 0 1 0 1 4 4 9

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