The ratio of boys to girls at a movie is 2:1.if there were five girls at the movie how many boys were there
2 answers:
You might be interested in
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.
Answer:
Step-by-step explanation:
Using the midpoint formula, , we can find the coordinates that represents the position of the ship at noon.
Let (given on the coordinate plane)
(given also)
Plug in the values into the formula and solve as follows:
Position of the ship at noon is best represented at