Find the matrices of the following linear transformations
1 answer:
Answer:
The matrixes are in the explanation box.
1. A mapping of (x,y,z) to (x,y,0)
2. Is a mapping of (x,y,z) to (-x,-y,z)
Step-by-step explanation:
We have the orthogonal projection onto the cy-plane to be a mapping of (x,y,z) to (x,y,0). Then we will have a transformation matrix that has the form below.
[1 0 0]
[0 1 0]
[0 0 1]
For the reflection in the z-axis,it is a reflection of (x,y,z) to (-x,-y,z). Our matrix will then have the form below
[-1 0 0]
[0 -1 0]
[0 0 1]
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Answer:
C ) 14 units
Step-by-step explanation:
I am assuming this is the problem's image? If not, please let me know and I will do a different one. I hope this helps!
We know QV = 15 and TQ = TS, QV = SV;
4 x - 1 = 15
4 x = 15 + 1
4 x = 16
x = 16 : 4 = 4
so,
TQ = 3 * 4 + 2 = 12 + 2 = 14
Answer:
C ) 14 units
