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If you are trying to find the slope of a line that is perpendicular to another line, you would need to change the sign and change it to the fraction's reciprocal.
m =
Change the sign of the slope:
Finally, make the reciprocal of the original slope (switching the numerator and denominator):
Simplify:
3
Final answer:
we are given
trinomial as
now, we can factor it
so, option-C and D ..............Answer
Answer:
True. See the explanation and proof below.
Step-by-step explanation:
For this case we need to remeber the definition of linear transformation.
Let A and B be vector spaces with same scalars. A map defined as T: A >B is called a linear transformation from A to B if satisfy these two conditions:
1) T(x+y) = T(x) + T(y)
2) T(cv) = cT(v)
For all vectors and for all scalars
. And A is called the domain and B the codomain of T.
Proof
For this case the tranformation proposed is t:
Where
For this case we have the following assumption:
1) The transpose of an nxm matrix is an nxm matrix
And the following conditions:
2)
And we can express like this
3) If and
then we have this:
And since we have all the conditions satisfied, we can conclude that T is a linear transformation on this case.