Let y = mx where m = tan(37) is the slope. That is 37 degrees. a....

Let y = mx where m = tan(37) is the slope. That is 37 degrees.
a. Find the Matrix that projects vectors onto this line. Find all eigenvalues
and Eigenvectors.
b. Find the Matrix that reflects vectors across this line. Find all eigenvalues
and eigenvectors.

Expert Solution

Colby Messinger answered 1 year ago

9. A line passing through the origin is described by the equation y = Mx, where...

9. A line passing through the origin is described by the equation y = Mx, where M greater than or equal to 0 is a random slope. Let (theta) be the angle between this line and the horizontal axis, in the right side of the plane. Suppose that theta is uniformly distributed between 0 and 90 degrees (0 and pi/2 radians). What, then, is the pdf of M? What is the expected value of M?

1) Let X and Y be independent random variables with moment generator functions given by MX...

1) Let X and Y be independent random variables with moment generator functions given by MX (t) = (0, 4e t + 0, 6) ^8 and MY (t) = (0, 4e t + 0, 6) ^4 . a) Determine a moment generating function of Z = 3Y + 2. b) Determine a moment generating function of W = X + Y. What is the distribution of W? c) Find E [W] and Var [W]. 2) The annual profits that companies...

Find ??, ?? and ?? of F(x, y, z) = tan(x+y) + tan(y+z) – 1

y'=tan(x)^2(csc(y)^3)

Find a general solution to y” + y = (tan t)^2

You are standing on a slope of 20 degrees to the horizontal and are going to...

You are standing on a slope of 20 degrees to the horizontal and are going to throw a ball at vi=20 m/s up the incline. If you throw the ball at an angle of 45 degrees with respect to the horizontal at what distance up the incline from your feet does it land? Assume the ball leaves your hand directly overhead, h=2.0 m above the slope. I know the horizontal velocity = 14.14 m/s and the vertical velocity also =...

Question

Let y = mx where m = tan(37) is the slope. That is 37 degrees. a....

Solutions

Expert Solution

Related Solutions

9. A line passing through the origin is described by the equation y = Mx, where...

1) Let X and Y be independent random variables with moment generator functions given by MX...

Find ??, ?? and ?? of F(x, y, z) = tan(x+y) + tan(y+z) – 1

y'=tan(x)^2(csc(y)^3)

Find a general solution to y” + y = (tan t)^2

You are standing on a slope of 20 degrees to the horizontal and are going to...

solve y" + 4y = 5 tan(2x)

why is coagulation testing performed at 37 degrees celcius?

Find the general solution of y 00 + y = (tan t) 2 .

Find the location on the curve y=(4x^2+3)(x-3) where the slope is -3.