hand written plz..i'll give you multiple upvote.. 6. If X has full rank, so that P = X(X'X)-X', prove that C(P) = C(X).

The rank of a matrix denotes the number of independent rows or the number of independent columns in…

Answered: 6. If X has full rank, so that P =…

Linear Algebra: A Modern Introduction

4th Edition

ISBN:9781285463247

Author:David Poole

Publisher:David Poole

Chapter1: Vectors

Section1.1: The Geometry And Algebra Of Vectors

Problem 24EQ

See similar textbooks

Similar questions

Let x and y be in Z, not both zero, then x2+y2Z+.
Show that 1 X1 n-1 ... 1 X2 x3 n-1 X2 .. = II (": – x;) - i>j n-1 .. where IIi>; (Xi – Xj) = II-2 (x; – x1) (x; – x2) · . · (x; - xj-1) i=2
6. If X has full rank, so that P = X(X'X)-X', prove that C(P) = C(X).
Ex. 5) For R and Q functions and given that: Q(-1) = 5, R(-1) = -4, R(5) = 7; || Q'(-1) =-3, R'(-1) =2, R'(5) =-1 If f(x) = R(Q(x)), then evaluate f"(-1). f"(-1)=
Expand f(z) = Z (z-1)(3-z) -; Iz-11>2.
Unif (-1,1). Compute (a) E(X), (b) var(X), (c) P(-2 0.5). Exercise 1. Suppose that X N
6. Use the Mean Value Theorem to find all values of c in (6, 14) such that ƒ'(c) = f(b)-f(a) b-a for f(x)=√√√2x - 3 on the interval [6, 14]
The functions g(b, c, d) and h(b, c, d) are defined as: g = (b+ c+ d')' + (b' + c' + d') · (b' -c' · d') h = (b' - d' . d')' · (b' + c' + d) + (b' + d'+ d)'. Where (b, c , d) are Boolean variables and b' means the complement of b. Give every set of values for the variables, (b, c, d), for which the functions g and h have different output values.
Let p(x) = x³ - 17x² + 11x + 76. Compute p '(x) and use it to find all values of x for which p '(x) = 0. X = X = (smaller value) (larger value)
2. a. f(x) = (x+2)/(x +4). Use the Mean Value Theorem on the interval [0, 4] to find all values of x in the interval (0, 4) such that the value of the first derivative of f at those points is (f(b) – f(a))/(b – a). b. For the interval [-5, 0], fb) - fa))(b — а)-GG0) — f-5)(0 — (-5)) = (½ – 3)/(0 + 5) = -½ but, since the first derivative of f(x) is always positive, nowhere on that interval does the first derivative of f(x) = -½. Thus the Mean Value Theorem does not hold for f(x) on this interval. Why?
5. Show that the functions x, x² interval [-1,1]. x3 -x are mutually orthogonal in the
Give an example to show that X' need not be separable if X is separable.

SEE MORE QUESTIONS

Recommended textbooks for you

Linear Algebra: A Modern Introduction

Algebra

ISBN:

9781285463247

Author:

David Poole

Publisher:

Cengage Learning

Elements Of Modern Algebra

Algebra

ISBN:

9781285463230

Author:

Gilbert, Linda, Jimmie

Publisher:

Cengage Learning,

Linear Algebra: A Modern Introduction

Algebra

ISBN:

9781285463247

Author:

David Poole

Publisher:

Cengage Learning

Elements Of Modern Algebra

Algebra

ISBN:

9781285463230

Author:

Gilbert, Linda, Jimmie

Publisher:

Cengage Learning,

SEE MORE TEXTBOOKS

6. If X has full rank, so that P = X(X'X)-1X', prove that C(P) = C(X).