Linear Transformation
Quadratics w/ complex solutions
Complex Number Math
Complex Numbers on a plane
Distance
100
F(x+y)= F(x) + f(y) is called the
What is addition property
100
i^2
What is -1
100
(3+ 3i) + (2-5i)
What is 5 -2i
100
Multiplying by i induces
What is a 90-degree counterclockwise rotation about the origin
100
The formula for midpoint
What is x-x/2 y-y/2
200
Show that f(x) = 6x +2 is not a linear transformation using addition property
What is F(x+y)= 6(x+y) + 2 is not equal to (6x +2) + (6y+2)
200
ax^2 + bx + c = 0 is an example of a
What is quadratic equation
200
2/3*(3+9i)
What is 2+6i
200
a Vector AB that represents a complex number a +bi has a tip at the point (a,b) and a tail at
What is the origin
200
The formula for modulus
What is √a^2 + b^2
300
If L(3) =9 and L (5) = 15, solve for L(8) and L(15)
What is L(8)= 24 L(15)=45
300
√(x+1)^2 = √-3. solve for x
What is x = -1 +- i√3
300
find the multiplicative inverse of 23 + 7i
What is 23-7/ 578
300
The length of a vector that represents 6-8i
What is 10
300
Let A= 3+5i and B= -4 -8i. Find a complex number C so that B is the midpoint from A to C
What is -11- 21i
400
When a function does not have ideal linear properties
What is only 1 or 2 values satisfy the properties for linear transformation.
400
i^6
What is -1
400
6-4i/3-2i
What is 2
400
List two complex numbers that could have a vector length of 52
What is 4 - 6i 6 +4i
400
find the modulus of AB if A=1-2i B=-2+3i
What is √34
500
Show F(0)=0 if f(2)=5
What is F(0)= F(2+-2)= 5-5=0
500
3x^2 + 6x + 7=1
What is x = -3/3 +- i√9/3
500
Find the complex number who's multiplicative inverse is 4+5i/41
What is 4-5i
500
Find the vector length of the sum of (4+4i)+(-4-6i)
What is 2
500
Let z= -12 +12 i and w = 120 - 120i. Find a point 1 quarter of the way along the line segment connecting z to w, closer to z than to w.
What is 21-21i
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