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0 votes
9.6k views
in Mathematics by (25.5k points)

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

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3 Answers

+1 vote
by (22.3k points)

Option : (a) 5

0 votes
by (20 points)
Option: (a) 5
0 votes
by (20 points)

Cij=(-1)I+j

C31=(-1)*(-3)-2*2=3-4=-1

C23=2*1-(-1)*3=2+3=5

C31=(-1)3+1*(-1)=-1

C23=(-1)3+1*5=5

(-5)*(-1​​​​)=5

Option:(a)

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