Question: Let A, B, C,.., and Z be events. Consider a square symmetric matrix whose elements are given by P (A intersection B), where A is

Let A, B, C,.., and Z be events. Consider a square symmetric matrix whose elements are given

by P (A intersection B), where A is any event at the row and B is at the column in the matrix.

Prove that this matrix is positive definite.

Don't hand writing

Step by Step Solution

There are 3 Steps involved in it

1 Expert Approved Answer
Step: 1 Unlock blur-text-image
Question Has Been Solved by an Expert!

Get step-by-step solutions from verified subject matter experts

Step: 2 Unlock
Step: 3 Unlock

Students Have Also Explored These Related Mathematics Questions!

Q:

Math 636 Final - Quiz Component 1. The system of linear equations 2x2 x3 = 3 2x1 + x2 + 2x3 = 1 x1 + x2 + 3x3 = 2 (a) is consistent with a unique solution. (b) is consistent with infinitely many...

Q:

Portray in words what transforms you would have to make to your execution to some degree (a) to accomplish this and remark on the benefits and detriments of this thought.You are approached to compose...

Q:

HW 12, MAT 312/AMS 351: SPRING 2017 Problem 1. (1) Set H = {4a + 6b | a, b Z} Z. Show that H is a subgroup of Z. (2) Is H cyclic? Problem 2. Write down all the cyclic subgroups of the following...

Q:

Suppose that R(A, B, C) is a relational schema with functional dependencies F = {A, B C, C B}. (i) Is this schema in 3NF? Explain. [2 marks] (ii) Is this schema in BCNF? Explain. [2 marks] (b)...

Q:

Prolog You are approached to compose a Prolog program to work with twofold trees. Your code shouldn't depend on any library predicates and you ought to expect that the mediator is running without...

Q:

Give Correct ANSWERS Human-Computer Interaction (a) If you had been one of the original inventors of the WIMP interface, and engineers on the technical team had been sceptical about the advantages...

Q:

A creative engineer suggests structuring the TLB so that not all the bits of the presented address need match to result in a hit. Suggest how this might be achieved, and what might be the costs and...

Q:

1 Due September 6 Problems 1.20, 1.26, 1.30 from the textbook Add-on sketch of a proof of existence of a set which is not Lebesgue-measurable. The original example is due to G. Vitali. Let = [0, 1);...

Q:

COMPLETE ALL THE QUESTIONS 1) Make a version of X.32[7] where the element type is a template argument. [10] ( 2.5) Given an Itor class like the one in X.32[8], consider how to provide iterators for...

Q:

class Queue using no other data structures than Item, Boolean, int and Stack. The amortized running time of each Queue meth od must be constant. (Note that you may only use the Stack as a black box:...

Q:

1. Develop DFD fragments for all of the events not documented in Figure. 2. Develop a single DFD that shows processing for all events, using one process for each subsystem and showing all needed data...

Q:

Describe how the degree of ionization of a weak acid changes as the concentration increases.

Q:

Question 9 ( 1 point ) Saved The EI premium rate for year 2 0 2 4 is 1 . 6 3 % of gross earnings. True False

Q:

(a) For a given wavelength, a wider single slit will give (1) a greater, (2) a smaller, (3) the same minimum angle of resolution as a narrower slit, according to the Rayleigh criterion. (b) What are...

Q:

At the end of the first quarter of 201X, you are asked to determine the FUTA tax liability for Ali Company. The FUTA tax rate is 0.8% on the first $7,000 each employee earns during the year (assuming...

Q:

(a) For a convex lens, what is the minimum distance between an object and its image if the image is real? (b) What is the minimum distance if the image is virtual?

Q:

A football is kicked off the flat ground at 25.0 m/s at an angle of 30o relative to the ground. (a) Determine the total time it is in the air. (b) Find the angle of its velocity with respect to the...

Q:

A flywheel rotates with an angular speed of 25 rev/s. As it is brought to rest with a constant acceleration, it turns 50 rev. (a) What is the magnitude of the angular acceleration? (b) How much time...

Q:

Write a program to wish happy birthday to a student. Firstly, take today month and day as an input and secondly take birthday as an input in the form of month and day. If the input day and month...

Q:

Refer to the Managerial Application on page 346 about 3M. What departments at 3M are involved in budgeting costs of new products'' Why are people from so many different functions involved?

Q:

Solving for budgeted manufacturing costs. Jamison Company expects to sell 400.000 cases of paper towels during the current year. Budgeted costs per case are $12 for direct materials. $9 for direct...

Q:

Analyzing contribution margin changes. The Siena Company, which sells hard hats for construction, provided the following data for years 1 and 2: What impact did the changes in sales volume and in...