Question

1 0 0 0
0 1 0
(i)
0 0
1 write minors and cofactors of elements of the following determinants​

Answer 1

Given :    $A=\left[\begin{array}{ccc}1&0&0\\0&1&0\\0&0&1\end{array}\right]$

To Find :  Minors and cofactors

Solution:

Mij = Minor of element ij

Cij = Cofactor of element ij

Cij  = (-1)^(i + j) *  Mij

M₁₁  = ( a₂₂ * a₃₃ -  a₂₃ * a₃₂)

M₁₁  =  1 * 1 - 0 * 0  =  1    C₁₁ =  (-1)²M₁₁  =  1

M₁₁ =  1            C₁₁ =  1

M₁₂ =    0         C₁₂ = 0

M₁₃ =    0         C₁₃ = 0

M₂₁ =    0         C₂₁ = 0

M₂₂ = 1             C₂₂ = 1

M₂₃ =  0           C₂₃= 0

M₃₁ =  0           C₃₁ =  0

M₃₂ =    0         C₃₂ = 0

M₃₃ =   1            C₃₃ = 1

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