a) (x + 1)(k + 1) = xy+x+y+?
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Answer:
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Step-by-step explanation:
Given, a=i−k,b=xi+j+(1−x)k and c=yi+xj+(1+x−y)k
Therefore, [
a
b
c
]=
∣
∣
∣
∣
∣
∣
∣
∣
1
x
y
0
1
x
−1
1−x
1+x−y
∣
∣
∣
∣
∣
∣
∣
∣
Applying C
3
→C
3
+C
1
=
∣
∣
∣
∣
∣
∣
∣
∣
1
x
y
0
1
x
0
1
1+x
∣
∣
∣
∣
∣
∣
∣
∣
=1[1+x−x]=1
Thus, [
a
b
c
] does not depend upon neither x nor y.
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