Show that every Donsingular mmrix has a QRfactorization.

What’s the difference between disjoint and independent I Two events are disjoint if the occurrence of one prevents the other from happening. P(A ∩ B) = 0 I Two events are independent if the occurrence of one does not change the probability of the other. P(A|B) = P(A) ● Joint and Marginal Probabilities ○ The probability of the intersection of two events are called joint probabilities, ○ P(E ∩ F). ○ probabilities into a table called a joint probability table. ○ The probabilities in the margins of the joint probability table provide the probability of each category separately, these are referred to as marginal probabilities. ● Buyes’ Rule ○ Given a prior (initial) probability then from sources we obtain additional information about the events. ○ This is an application of the General Multiplication Rule. ○ Let A and B1, B2, . . . , Bk be pairwise disjoint events such that each P(Bi) > 0 and Ω = B1 ∪ B2 ∪ . . . ∪ Bk and assume P(A) > 0. Then for each i, ○