a=abc b c a fc aЬ cofactor of is ca?
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Answer:
B
ac−b
2
By property of co-factor of matrix(2),
cofactor of a
ij
=M
ij
×(−1)
i+j
∴ minor of a
21
=
∣
∣
∣
∣
∣
∣
a
12
a
32
a
13
a
33
∣
∣
∣
∣
∣
∣
=
∣
∣
∣
∣
∣
∣
b
a
c
b
∣
∣
∣
∣
∣
∣
M
21
=b
2
−ac
So, co factor of a
21
=M
21
×(−1)
1+2
=−M
21
=ac−b
2
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