Consider the following matrices: 1 2 A= 3-4 2 3 B= 3 2 1 1 0 2 C= 2 1 3 -1 1 1 1 4 5 -4 2 5 1 3 4 1 0 1 1 - 2 D= E= F 4 1 31 7 3 2 Find each of the following, if possible. If it is not possible, explain your reasoning. 1 (a) AB (9) BAT (b) BA (h) (A + B) E (C) CD + E ()...
Problem 1-4. Let AABC be a right triangle with hypotenuse AB. Suppose that D, E, F e AB, BF ZACB. Prove that ZDCE ZECF. FA, ZBDC is a right angle, and CE is the bisector of В E 14 F onu Rnonocitions 1.31 on these-but be sure to label what IT.
Please explain as detailed as possible, thank you! 1. Let S={0, 1, 2, 3, . . . , 150). and let A={x E S | x+100 E S} Write the roster notation of the set A. Also, find the cardinality of the set A. 2. For each natural number n, let An be the interval An (0,2/n) and let Bn be the interval Determine the following: (b) Un1Bn 3. Let the universal set be S = {1, 2, 3, 4,...
that AB- 100 1 2 20 2 2 0 and trices shown to the right e A be the oorresponding n ×n matrix and let B be i s in ers e Guess the to m or B, and then st Use the algorithm for finding A to find the invers s of the 3 330 3 330 4444] 11 1[10 If A is the corresponding n× n matrix and B is its inverse, which of the following is B?...
2. Let A = {1, 2, {3,4}} and let B = {1, 2, 3, 4]. Compute each of the following: (a) AUB (b) ANB (c) A | B (d) B\ A
3 11411311123233211344 2132-411 2-2 4 2 3 3 1 2 1 5 2 3 1-2 45-5 0-234567. 8 9 0 1 2 Homework: Section 2.1 Homework Score: 0 of 5 pts HW Score: 33 33%, 5 of 15 pt the service of the station on the scale of 1-Very Good, 2-Good, 3-Fak, 4 Pow, and 5-Very Poor The station with the codes 1 moening 2 alemoon, 3 evening and 4 various times The accompanying Complete parts a c below Click...
Question 8 (Chapters 6-7) 12+2+2+3+2+4+4-19 marks] Let 0メS C Rn and fix E S. For a E R consider the following optimization problem: (Pa) min a r, and define the set K(S,x*) := {a E Rn : x. is a solution of (PJ) (a) Prove that K(S,'). Hint: Check 0 (b) Prove that K(S, r*) is a cone. (c) Prove that K(S,) is convex d) Let S C S2 and fix eS. Prove that K(S2, ) cK(S, (e) Ifx. E...
mixture 3. Let 0 0 1 0 1 2 1 2 Z loo 4 X 0 A= and B = Y 4 1 (a) Compute the determinants of the following matrices: A, B, AB, 5AB, and (AB) (b) Compute the inverse of A. X = 3 Y = 3 Z = 6
1. -12 points PooleLinAlg4 3.1.004. 0/3 Submissions Used Let r 2 5 2 -3 1 Compute the indicated matrix. (If this is not possible, enter DNE in any single blank). Need Help? ReaditTalk to a Tuter Submit Answer Save Progress Practice Another Version
Let U be as in question 6. Let D = {1, 3, 5, 7} E = {2, 4, 6, 8} and F = {1, 2, 3}. For the following questions state whether each statement is true or false a.)D and E are disjoint. b.)D and E are complimentary. c.)9 ∈ D d.)D ∩ DC = ∅