Build an orthonormal base, step by step, in R3 starting with the base:
Build an orthonormal base, step by step, in R3 starting with the base: 0 1 =...
Let this cluster to be a subspace of V. Find an orthonormal base
for W.
V = R3 ve W =< (1,0, -1),(0,1, -1) >
Find the fourier series
و = (x) 1, 18, - 7<<0 0 << ;}
x Previous Step Answer(s): Ho: 0 < 0, H4:0} > o Critical Value = 2.6522 Test Statistic = 4.0553 O Reject Null Hypothesis O Fail to Reject Null Hypothesis
Problem 6* (Optional). Suppose ej,..., en is an orthonormal basis of V and v, ...,Vn are vectors in V such that lle; - v, 1 < 1 h for each j. Prove that V1, ..., Vn is a basis of V. In other words, if you perturb an orthonormal basis slightly, you still have a basis.
Section 5.5 Orthonormal Sets: Problem 6 Previous Problem Problem List Next Problem 1 (1 point) Use the inner product < f, g >= . f(x)g(x)dx in the vector space C°[0, 1] to find the orthogonal projection of f(x) = 6x2 + 1 onto the subspace V spanned by g(x) = x - and h(x) = 1. projy(f) =
Please do this step by step because the explanation is a huge part
of the grade.
< x < and 3. Let X be a random variable with p.d.f. fx(x) = (1/2)e-Axl where - X>0. Let Y = X?. Find the c.d.f. and the p.d.f. of Y.
Solve the follwing rational inequality: 2 – 3 < 0 x + 1
The bus arrives every 15 minutes starting at 8:00am and leaves
immediately. You arrive at the bus stop with a uniform distribution
between 8:05am and 8:30am and can be described as . Given that the bus arrival
time and the time that you arrive at the bus stop are independent,
what is the PDF of your
wait time?
fx(x) = {1/25, 0<x< 25 0, otherwise
7. Find the equation of the parametric curve starting at (1, -1) and end- ing at (-2,2). Ax=1- 3t, y = -1 + 3t, 0 <t < 1. B x=t, y = -0,1<t<2. cx = -2 + 3t, y = 2 – 3,0 <t<1. D None of the above.
Consider fx (x)=e*, 0<x and joint probability density function fx (x, y) = e) for 0<x<y. Determine the following: (a) Conditional probability distribution of Y given X =1. (b) ECY X = 1) = (c) P(Y <2 X = 1) = (d) Conditional probability distribution of X given Y = 4.