ADJOINT OF A MATRIX WORKSHEET

Find the adjoint of the following matrices :

Problem 1 :

Problem 2 :

Problem 3 :

Problem 4 :

Problem 5 :

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Answers

1. Answer :

To find adjoint of a 2x2 matrix, we have to switch the elements of the primary diagonal and change the signs of the elements of the secondary diagonal.

Therefore,

2. Answer :

3. Answer :

Find the cofactor of each element.

Cofactor of 1 :

Cofactor of 1 :

Cofactor of 1 :

Cofactor of 1 :

Cofactor of 2 :

Cofactor of -3 :

Cofactor of 2 :

Cofactor of -1 :

Cofactor of 3 :

The cofactor matrix of A is

Therefore,

4. Answer :

5. Answer :

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