Answer:
Step-by-step explanation:
this forms a 30 degree reference angle
and this is in the 4th quadrant
When the angle is 30 degrees, the coordinates are:
{(1,2),(3,4),(5,6),(7,8),(9,0)}
1 answer:
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Answer:
See picture and explanation below.
Step-by-step explanation:
With this information, the matrix A that you can find is the transformation matrix of T. The matrix A is useful because T(x)=Av for all v in the domain of T.
A is defined as denotes the vector of coordinates of
respect to the basis
(we can apply this definition because
forms a basis for the domain of T).
The vector of coordinates can be computed in the following way: if then
.
Note that we have all the required information: then
hence
The matrix A is on the picture attached, with the multiplication A(1,1,1).
Finally, to obtain the output required at the end, use the properties of a linear transformation and the outputs given:
In this last case, we can either use the linearity of T or multiply by A.
Answer:
Simplify:
So you get: