13. + . Solve: 2. Suppose: 21 = 2+1, 2=3–21, and 23=- (a) 321 +421 (b)...
S 5. Determine if 1-3 is in the mull [2] 21 19 A-13 23 2 8 14 14 1 5 space of
(23). (15 Marks). Suppose A has eigenvalues 11 = 3, 12 = 1, 13 = 0) with corresponding eigenvectors 0 0 2 = [1] 12 8) 23 = (a) (5 points). How do you know that the third column of A contains all zeros? (b) (10 points). Find the matrix A.
1. Given the inequality: 13m - 21 - 8 S 13. (a) Name two different pieces of incorrect work shown below and explain why it is incorrect 13m - 21 -8 <13 AND 13m - 21 - 82-13 3m - 10 S 13 3m - 10 2 -13 +10 + 10 +10 +10 3m s 23 3m 2-3 m2 m-1 (b) Solve the inequality. (c) Graph your solution AND (d) write your answer in interval notation,
1 2 0 42 3 40 -80 64 48 -288 40 13 26 21-15 94-13) and 5 10 8-6 365 2 4 0 8 -6 -10 0 13 2-1 3·Let A = C 4 8 3 25 -2 9 5 1 42 3-1 9 10 22846-2 18 4 -4 3 21 3 2 334 15 26-2 14 5 48 -2 -10 -2 8 -8 814 16 28-23 148 36-6 56 (a) Find a basis for Nul (A)nNul (C) (b) Find...
2.- (25) Find I I, 321 D 20v 21 tur 2 D₂ 21
2.- (25) Find I, I, 321 D. 20v M 21 21 tur 2 ŹDZ
Suppose 21, 22, 23, 24 ~ N(0, 1) where 21, 22, 23, 24 are all independent. Let X1 = zi + z2 42 = 22 + 23 23 = 23 + 24 Notice that Cov(21,13) = 0 so that Xi and X3 are independent. Which of the following is true? Var (21 | 22) = Var (21 | 22, 23) Var (x1 | x2) > Var (21 | 22, 23) Var (21 | x2) < Var (21 | 22, 23)
1. (30 pt) Consider the atomic wave function Y(1,2) 1.14211X+(1) 421-1X-(1) VE 14211X+(2) 421-1X-(2)|| where 421+1 is a hydrogen-like wave function. (a) Show that Y(1,2) is an eigenfunction of Îz,total = 22 + 22) and Ŝz,total = $(1) + $(2) (b) What are the eigenvalues?
Given: 21 and 23 are supplementary. Prove: а || b 3 alb 21 and 23 are supplementary. a. ? d. ? Supplements of the same are e._? b. ? Def. of linear pair 21 and 22 are supplementary. c. ? Which statement can be used in blank e? Converse of the same-side interior angles theorem O Converse of the corresponding angles postulate Converse of the same-side exterior angles theorem Given: 21 and Z3 are supplementary. Prove: a | b b...
Solve and draw phase portraits. I understand how to
solve but not how to draw, so phase portraits, please.
23 31 IL 9-9 | | 21 47 31 2 1- .) 31 76 73 56
23 31 IL 9-9 | | 21 47 31 2 1- .) 31 76 73 56