Answer :

Minor: Minor of an element a_{ij} of a determinant is the determinant obtained by removing i^{th} row and j^{th} column in which element a_{ij} lies. It is denoted by M_{ij}.

Cofactor: Cofactor of an element a_{ij}, A_{ij} = (-1)^{i+j} M_{ij}.

Minor of element a_{ij} = M_{ij}

a_{11} = 2, Minor of element a_{11} = M_{11} = 3

Here removing 1^{st} row and 1^{st} column from the determinant we are left out with 3 so M_{11} = 3.

Similarly, finding other Minors of the determinant

a_{12} = -4, Minor of element a_{12} = M_{12} = 0

a_{21} = 0, Minor of element a_{21} = M_{21} = -4

a_{22} = 3, Minor of element a_{22} = M_{22} = 2

Cofactor of an element a_{ij}, A_{ij} = (-1)^{i+j} × M_{ij}

A_{11} = (-1)^{1+1} × M_{11} = 1 × 3 = 3

A_{12} = (-1)^{1+2} × M_{12} = (-1) × 0 = 0

A_{21} = (-1)^{2+1} × M_{11} = (-1) × (-4) = 4

A_{22} = (-1)^{2+2} × M_{22} = 1 × 2 = 2

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