Consider following five sets: I.{ <1, -1>, <1, 1> } { <0, 0> } II. { <1, -1> } III. IV. { <1, -1>, <1, 1>, <2 , 3> } V. { <1, -1>, <-2, 2> } Find all set(s) span R. (a) I (b) I and IV (c) I and II (d) III, IV and V (e) II (f) III

Q: Find the point of intersection of lines 1₁ and 12. 1₁:r₁ = (5 + 2t₁)i + (10 - 3t₁)j + 2t₁k 12:12 =…

A:

Q: . Let A=[[-9,1],[2,5]]and B=[[6,2],[3,3]], Find A+B   2. let A= [[-1,3],[0,4],[9,-4]]and…

A:

Q: let a1 is (-3,2,6) a2 is (-9,-7,-2) and b is (-18,-27,-23). Is b in the span of of a1 and a2

A: The objective of this question is to determine whether the vector b is in the span of vectors a1 and…

Q: {(r.0):3<rs4 and so<- Neatly sketch the set of points

A:

Q: Which set of ordered pairs left bracket, x, comma, y, right bracket(x,y) could represent a linear…

A: The objective of this question is to identify which set of ordered pairs could represent a linear…

Q: Let f {(0,-3),(9,4),(-6,9)} and h={(-6,4),(-3,9)}. Find fo h. foh= (Use a comma to separate ordered…

A: The given functions  and .The objective is to find the composition function .

Q: If A = {(x, y): (2, -2), (4, -1), (6, 0), . . .}, complete the rule for set A. y= 1/2x - 3 -1/2x -…

A: Observe the given pattern of set A then complete the rule.

Q: Let ū = (3, – 4, – 10) and i = (– 7, – 2, 0). - 2ü + 20 (-8,-12 - 20)

A: Given :-  u=&lt;3,-4,-10&gt;  v=&lt;-7,-2,0&gt;  To find:-  2u+2v

Q: Let A = {1, 2} and B = {3, 4}. Find the number of relations from A to B.

A: Number of elements in A=2 ...................................In B=2

Q: Find Jul, Ivl, 12u[, , lu + vl, lu - vl, and Jul - Ivl. u - (1, -4), v= (-10, –10)

A:

Q: Select all ordered pairs that satisfy the function y=5x + 4

A: Given,          The function is y=5x+4.

Q: Let A = {x, y} and B = {1,2}. Write down each function in the set BA. 3.

A:

Q: 2. State the domain and range of each relation. a) {(0, 5), (1, 6), (2, 7), (3, 8)} b) {(1, 4), (2,…

A: According to our guidelines we can answer only three sub-parts and rest can be reposted.

Q: Let u = and v = Find each quantity: a) (u)(v)  b) (u)(u)  c) (v)(v)

A: Given: u =&lt;4,-3&gt; and v =&lt;-2,7&gt;

Q: 1. Identify the domain of this relation. {(8,10), (5,7), (9,–11). (6,-8)} O A. Domain: {5,6,8,9} O…

A:

Set Theory

Every field in the present world involves a set. The theory of sets was developed by German mathematician Georg Cantor while working on the “problems of trigonometric series”.