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:B & E
Step-by-step explanation:
We can first rearrange the function to isolate y. Then, we can find the slope as the function is in the form y=mx+b.
Since parallel lines have the same slope, we can put the slope of 3/4 into the point slope form to get the answer.
<em>For reference, the point-slope form is </em>
The first line is found in option E, so option E is one of the correct options.
We can also move the x to the other side, as two of the 5 options have both variables on the left (B and C).
If we multiply the whole equation by -4, we can get rid of the fraction.
Hence, option B is also correct.