Linear Model 3) Development of an F-test Corresponding to a vector of four observations consider the orthogonal Matrix A Matria A:| 9 4 2 8. 3.

Using the vectors below, show (ā + b) x(ā – b) = 2(bx a) a = [4, –1,2] b = -} – 3k %3D

Consider matrix attatched and vectors attatched, Let w = Ax+y. Write down w2. (w2 is the fancy w from the vector w) Please give answer in decimal format

Explain  column vector of m x 1 matrix?

Write each vector as a linear combination of the vectors in S. (If not possible, enter IMPOS S = {(2, –1, 3), (5, 0, 4)} (a) Z = (9, -7, 17) Z = S1 S2 v- (2). - ) 23, - * 4 1 75 (b) V = V = S1 S2 (c) w = (1, -8, 12) S1 + S2 W = (d) и %3D (6, 1, —1) S1 + S2 u =

Let Ax = b be the linear system 1 3 21 [X1 1 -3 X2 = -9 1 -2) [x3.

Orthonormalize the following set of three vectors: {(1, -1, 2), (1, 3, 1), (1, 0, 2)}. Please use legible handwriting and also please explain each step clearly. Thank you!

Show the process of Reflecting a vector/matrix about a line that goes through the origin?

/MAT-350-J4885-OL-TRAD-UG.23EW4/chapter/3/section/3 a home > 3.3: Dot product NGE 3.3.2: Angle between two vectors. Y 46070.qx3zqy7 Jump to level 1 Find the angle , in degrees, between u and v. u = [-2, -5] = [0,3] V = Ex: 1.234 0 Check || - Next roperties of the dot product he dot product has several properties similar to those of real number multiplication. Property 3.3.1: Properties of the dot product Section-

(2D & 3D space vectors) There is a dataset obtained from the histopathology medical data of the following high-grade astrocytomas as follows. x1 = (114.36, 0.11) x2 = (100.44, 0.27) x3 = (109.42, -3.69) x4 = (109.75, -0.07) x5 = (104.41, -3.79) a) Find the mean from x1 to x5 b) Find: 1. the distance of the 1st vector x1 to the mean of the dataset. 2. the distance of the 2nd vector x2 to the mean of the dataset. 3. the distance of the 3rd vector i.e. x3 to the mean of the dataset. 4. the distance of the 4th vector, x4, to the average of the dataset. 5. the distance of the 5th vector, x5, to the average of the dataset.