Recall that the standard basis of ℝ3 is {E1, E2, E3}. If T:ℝ3→ℝ2 is a transformation and the action of T on the vectors Ei is as
given, find a formula for T(X), where X is any vector in ℝ3.
T(E1)= 2 T(E2)= \begin{bmatrix} 0 \\ 5 \end{bmatrix} T(E3) = \begin{bmatrix} 4 \\ 0 \end{bmatrix}
T\begin{bmatrix} x \\ y \\ z \end{bmatrix} = \begin{bmatrix} ? \\ ? \\ ? \end{bmatrix}
T(E1)= 2 T(E2)= \begin{bmatrix} 0 \\ 5 \end{bmatrix} T(E3) = \begin{bmatrix} 4 \\ 0 \end{bmatrix}
T\begin{bmatrix} x \\ y \\ z \end{bmatrix} = \begin{bmatrix} ? \\ ? \\ ? \end{bmatrix}
1 answer:
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Answer:
Amount of hay in first barn = 90 tons
Amount of hay in second barn song = 30 tons
Step-by-step explanation:
Let the amount of hay in second barn be x, then hay in first barn will be 3x.
20 tons of hay was removed from first barn and ws added to second barn.
Now, the amount of hay in first barn = 3x -20
Amount of hay in second barn = x+20
The equation now formed is:
x+20 = (3x-20)
7x+14 = 15x -100
-8x = -240
8x = 240
x = 30
3x = 90
Amount of hay in first barn = 90 tons
Amount of hay in second barn song = 30 tons
Answer:
Step-by-step explanation:
3y=7x+2
one pair is (1,3)
go on adding 3 in x=1,you get corresponding value of y.
x=4,y=10,(4,10)
and so on .