Find adjoint of each of the matrices.

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Solution

Given matrix is,

A=[ 1 2 3 4 ]

The cofactor of a 11 is,

A 11 = ( −1 ) 1+1 4 =4

The cofactor of a 12 is,

A 12 = ( −1 ) 1+2 3 =−3

The cofactor of a 21 is,

A 21 = ( −1 ) 2+1 2 =−2

The cofactor of a 22 is,

A 22 = ( −1 ) 2+2 1 =1

The adjoint of a given matrix is,

adjA=[ A 11 A 21 A 12 A 22 ] =[ 4 −2 −3 1 ]

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