If Cij denotes the cofactor of element pij of the matrix P = \(\begin

1.	If Cij denotes the cofactor of element pij of the matrix P = \(\begin{bmatrix}1 & -1 & 2 \\[0.3em]0 & 2 & -3 \\[0.3em]3 & 2 & 4\end{bmatrix}\)then the value of C31 . C23 is :[(1,-1,2),(0,2,-3),(3,2,4)](a) 5(b) 24(c) - 24(d) - 5
Answer» Option : (a) 5 Option: (a) 5 Cij=(-1)^I+j C₃₁=(-1)(-3)-22=3-4=-1 C₂₃=21-(-1)3=2+3=5 C_{31=(-1)³⁺¹(-1)=-1} C_{23=(-1)³⁺¹5=5} (-5)*(-1)=5 Option:(a)

If Cij denotes the cofactor of element pij of the matrix P = \(\begin{bmatrix}1 & -1 & 2 \\[0.3em]0 & 2 & -3 \\[0.3em]3 & 2 & 4\end{bmatrix}\)then the value of C31 . C23 is :[(1,-1,2),(0,2,-3),(3,2,4)](a) 5(b) 24(c) - 24(d) - 5

Answer»

Option : (a) 5

Option: (a) 5

Cij=(-1)^I+j

C₃₁=(-1)*(-3)-2*2=3-4=-1

C₂₃=2*1-(-1)*3=2+3=5

C_{31=(-1)³⁺¹*(-1)=-1}

C_{23=(-1)³⁺¹*5=5}

(-5)*(-1)=5

Option:(a)

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If Cij denotes the cofactor of element pij of the matrix P = \(\begin{bmatrix}1 &amp; -1 &amp; 2 \\[0.3em]0 &amp; 2 &amp; -3 \\[0.3em]3 &amp; 2 &amp; 4\end{bmatrix}\)then the value of C31 . C23 is :[(1,-1,2),(0,2,-3),(3,2,4)](a) 5(b) 24(c) - 24(d) - 5

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If Cij denotes the cofactor of element pij of the matrix P = \(\begin{bmatrix}1 & -1 & 2 \\[0.3em]0 & 2 & -3 \\[0.3em]3 & 2 & 4\end{bmatrix}\)then the value of C31 . C23 is :[(1,-1,2),(0,2,-3),(3,2,4)](a) 5(b) 24(c) - 24(d) - 5