(i) Find the cofactor matrix of [[2, 3, 4] [1, 2, 3] [- 1, 1, 2]]
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Answer:
[2.-3.4] [-1.2.3] [-1.-1.2]
Step-by-step explanation:
- C11=(-1)1+1 M11
= 1×2
= 2
2. C12=(-1)1+2 M12
=(-1)3×3
=(-1)×3
= -3
3. C13=(-1)1+3 M13
=(-1)4×4
= 1×4
=4
4. C21=(-1)2+1 M21
= (-1)3×1
= (-1)×1
= -1
5. C22=(-1)2+2 M22
=(-1)4×2
=(1)×2
= 2
6. C23=(-1)2+3 M23
= (-1)5×-3
=(-1)×(-3)
=(3)
7. C31=(-1)3+1 M31
=(-1)4×-1
=(1)×(-1)
= (-1)
8. C32=(-1)3+2 M32
=(-1)5×1
=(-1)×1
=(-1)
9. C33=(-1)3+3 M33
=(-1)6×2
=(1)×2
= 2
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