Prove that if (mathbf{X}) is an (n times p) data matrix, then (operatorname{dVar}_{n}(a+) (b mathbf{X} C)=b operatorname{dar}_{n}(mathbf{X})),
Question:
Prove that if \(\mathbf{X}\) is an \(n \times p\) data matrix, then \(\operatorname{dVar}_{n}(a+\) \(b \mathbf{X} C)=b \operatorname{dar}_{n}(\mathbf{X})\), for all constant vectors \(a\) in \(\mathbb{R}^{p}\), scalars \(b\), and \(p \times p\) orthonormal matrices \(C\).
Fantastic news! We've Found the answer you've been seeking!
Step by Step Answer:
Answer rating: 100% (1 review)
Answered By
Mahesh G
I have more than 7 years of experience in teaching physics, mathematics and python programming to more than 600 students including both online and offline tutoring.
I follow the following 7 step fundamental approach towards tutoring.
1. Curiosity, scope, enlightenment of the topic in hand.
2. Problem Definitions and elaboration.
3. Requisite mathematics, analytical abilities and quantitative
aptitude.
4. Preparing Algorithms for problem statement.
5. Concepts with analogies and building algorithm.
6. Introspection and improvising.
7. Daily class wise Cheat sheets(its not cheating) for consolidation.
5.00+
1+ Reviews
10+ Question Solved
Related Book For
Cases And Materials On Employment Law
ISBN: 9780199580712
8th Edition
Authors: Richard Painter, Ann Holmes
Question Posted:
Students also viewed these Social Science questions

In a Hopfield neural network configured as an associative memory, with all of its weights trained and fixed, what three possible behaviours may occur over time in configuration space as the net...

(a) Use the following text to derive distributions for rat and chased. Use a fiveword window, including open and closed class words, ignore case, punctuation and sentence boundaries and weight...

QUIZ... Let D be a poset and let f : D D be a monotone function. (i) Give the definition of the least prefixed point, fix (f), of f. Show that fix (f) is a fixed point of f. [5 marks] (ii) Show that...

XY is a pharmaceutical company with the headquarter in the United States. However, its cash flow depends only on sales in Japan. It receives a cash flow of Yen 20 billion with certainty in t=1. The...

A retired couple have $150,000 to invest and want to earn $15,000 per year in interest. The safer investment yields 9.5%, but they can supplement their earnings by investing some of their money at...

Let What is the domain of ? How can you define at x = 0 in order for to be continuous there? f(x) = x + cc X C > 0.

If accounts receivables increase by \($15,000\) and accounts payables increase by \($11,000,\) the effect on cash flow is a. Increase of $26,000 b. Increase of $4,000 c. Decrease of $4,000 d....

Calculating Annuity Values an AllPro defensive lineman is in contract negotiations. The team has offered the following salary structure: All salaries are to be paid in lump sums. The player has...

Use the following information for the Brief Exercises below [The following information applies to the questions displayed below.] California Surf Clothing Company issues 1,000 shares of $1 par value...

Is it true that \(\operatorname{Cov}\left(\leftXX^{\prime}ight,\leftYY^{\prime}ightight)=0\) implies that \(X\) and \(Y\) are independent? (Recall that \(X, X^{\prime}\) are iid; \(Y,...

Prove that \(\mathcal{V}_{n}(\mathbf{X})=0\) implies that all sample observations of \(\mathbf{X}\) are identical.

a. Construct a strand of complementary DNA (cDNA) from the following mRNA transcript: 3UAUGAACCCCGCUUU5 b. What enzyme is used to copy DNA from an mRNA transcript, and why is it necessary to...

Jose is at a fork road for its clickandmortar fashion franchise chain under the name Groovy Vibes Fashion. He has subdivided his customers into three segments based on their varying purchase...

TranscribedText: 192 193 Q4 Green Lid. has undertaken some inventory planning for one of its main raw materials. Inventory planning data is listed below Q4 sub 194 195 Working days per year 320 days...

Blue Ridge Marketing Inc. manufactures two products, A and B. Presently, the company uses a single plantwide factory overhead rate for allocating overhead to products. However, management is...

Using the article by Wickham, Lehman, and Fillis (2020), define the three factors that comprise the art product. Using examples published in online news sources, discuss how each of these factors can...

Mica Inc. began operations in October, 2014. During October, Mica sold ordinary shares for 600,000, earned revenue of 66,000, incurred expenses of 36,000, and paid dividends of 3,000. Calculate...

Assume that for a period of time, longterm corporate bonds had an average return of 8.0 percent with a standard deviation of 12.0 percent. What is the 95 percent probability range of returns?

1. Which of the four major types of information systems do you think is the most valuable to an organization? 2. How do you critically associate the ideas of business agility and business efficiency...

Find expressions for the partial derivatives of the following functions: a. f(x,y) = f (g(x)k(y), g(x) + h(y) b. f(x,y,z) = f(g(+ y), h(y + z)) c. f(x,y,z) = f(xy, yz, zx) d. f(x,y) = f(x,g(x),...

Let f: Rn R. For x Rn, a. Show that Deif (a) = Dif (a).. b. Show that Dtxf (a) = Dxf(a).. c. If f is differentiable at , show that Dxf(a) = Df(a)(x) (a) and therefore Dx + yf(a) = Dxf (a) + Dyf (a)..

Let f be defined as in Problem 24. Show that Dxf (0, 0) exists for all , but if g 0, , then Dx + yf (0,0) =Dxf (00 Dx + y f (0, 0) = Dx f (0 , 0) + Dyf (0, 0) Is not true for all x and all y.

Consider how Star Valley, a popular ski resort, could use capital budgeting to decide whether the $8 million Blizzard Park Lodge expansion would be a good investment. Assur conce assur Click the icon...

Selected Taccounts of Moore Company are given below for the just completed year: Raw Materials Debit Credit Balance 1/1 28,000 Credits Debits 146,000 Balance 12/31 38,000 Manufacturing Overhead...

Your company has total receivables outstanding at 31 December 2020 of $20,000. You think that about 2% of these balances will not be collected and wish to make an appropriate allowance. You have not...
Study smarter with the SolutionInn App