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:
The correct option is;
line a and line b
Step-by-step explanation:
Lina a passes through (-1, 0) and (1, 2)
Line b passes through (2, 2) and (-1, -1)
Line c passes through (0, 3) and (1, 0)
Line d passes through y = 1
An equation that has no solution
By examination, from the plot of the coordinates using an online tool, the system that would have no solution is the system of line a and line b because they are parallel lines and cannot meet or have a point where there is a common solution, therefore, there are no solutions when the equations of the two lines are combined in one equation
Slope of line a = -2/-2 = 1
Slope of line b = 3/3 = 1
The slopes of lines a and b are equal, therefore, line a and line b are parallel.
Answer:
A The data is proportional and the unit rate per package is $8 This is because y= 8x
Step-by-step explanation:
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