Let X = {1,2,3,4} SUCH THAT TX = {4, {2},{1,2},{2,3} , {1, 2, 3},X}: AND Y = {1,3,4} C X, THEN TY =

Q: Give the dual of the following L. P. P. Max. : z = 2x1 + 3x2 + xXz Subject to : 4x + 3x2 + x3 = 6 X…

A:

Q: If A × B ={(p, q),(p, r), (m, q), (m, r)},     find A and B.

A: A will be the set of the first ordinates  And B is the set of the second ordinates

Q: Let A=(1, 0), B=(0, 1), C=(1, 1), and D=(r, 1). Verify that R(A, B, C, D) = r.

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 U=(2,-1,0,-3) ,V=(1,-1,-1,3) and W=(1,3,-2,2) then -4U+2V- 2W is: * O skip O (-8 -4 2 14) O (-8…

A: U = (2,-1,0,-3) V = (1,-1,-1,3) W = (1,3,-2,2) find -4U + 2V -2W = ? -4(2,-1,0,-3) + 2(1,-1,-1,3) -…

Q: . For what values of a are the points (6, 2, 3) and (a, 2, 5) and the line = (2,-1,-2) + t(3,1,-2)…

A: I have appended the formula used in the solution part of the question

Q: Let A = (1, 0), B = (0, 1), C = (1, 1), and D = (r, 1). There are 24 orderings of the four points A,…

A:

Q: Does {(1,2), (–2, –4), (3, 6)} span R??

A:

Q: Let A = 2 and U = H Then A2017U is equal to A D

A: Given A = -120-1  and  U = 10

Q: If a = (1, 2, 1) and b cross products. 1. a × b : = 2. b xa = = (12, 15, 1), find the following

A:

Q: 1. Find x, y, and z so that x + y 4x 2y -16 -- y 11 4 Z

A:

Q: 10. Find a and ẞ such that c = αa + ẞb, where a = (-3,0,2), b = (0,-1,2), and c = (-6,5,-10).

A:

Q: x then ux is XX If u = V y %3D

A:

Q: Let R = {(3,4),(1,3),(4,2),(4,1)}, Then R² is given by O (1,3),(2,1),(3,2),(4,3)} O {(1,3).(2,1).(3,…

A:

Q: Show that <a, b | a5 = b2 = e, ba = a2b> is isomorphic to Z2.

A: To show that the group <a, b | a^5 = b^2 = e, ba = a^2b> is isomorphic to Z2, we need to…

Q: Show that is isomorphic to Z2.

A:

Q: Given u = (10, 9) and v = (5, - 2), find v-u. O (-10, – 3) O (-5, - 2) O (-15, – 8) O (-5, – 11) O…

A: Givenu=(10, 9)v= (5 ,-2)

Q: Let A = ff, I, y }, B = {r, a, t}. Find A x B and B X A. AxB= qafhbuifsfvggbh

A:

Q: X and  Y are randam variables then XeY is a randam variables.

A: Here, The X and Y are two random variables  Then XeY are also random variables we have to show Here…

Q: Prove that if r>3 and y > 4, then ry > 11.

A:

Q: 4. Find z, and z, such that, 2iz, +iz, 2+5i and = 9-11i 3i z,-2i 2, 4 =i+1, z, = 3+4i (b) z, = 3-4i,…

A: Solution:- let z1 and z2 be the different ccmplex number i2= -1 i3=-i

Q: If a = (2, 0, 2), b =(4, 2,-2), and c = ax (bx c) = (a x b) x c = = (0, 2, 5), show that a x (bx c)…

A: The answer is in step2.

Q: Compute u – 3v, u v and u x w.

A:

Q: Let U = {x | x is the name of one of the months in a year} J = {x | x  U and x begins with the…

A: Given that U = {x | x is the name of one of the months in a year} J = {x | x U and x begins with the…

Q: Let A m 11 11 1 m 1-1 0 and A-1 = - N 234 Find m and n:

A:

Q: Let A=(1,2,3,4), B=(00,01,10,11), C3(x,y,z). f1 = (1,00),(2,01),(3,01),(3,10) (4,11)} f2 = {(1,x),…

A:

Q: Show that <a, b | a5 = b2 = e, ba = a2b> is isomorphic to Z2.

A: We have to show that <a, b | a5 = b2 = e, ba = a2b> is isomorphic to Z2.

Q: Let S={(0,-1,1),(0,-2,-1),(1,1,2)}.

A: S?

Q: Let A {a, b} and B = {1, 2}. Give an element of A x B x A.

A: Let M and N be two sets. The Cartesian product, M×N is the set of all possible ordered pairs with…

Q: c. (18,-11,9,8) d. (18,11,9,-8) 2. x = (-1, -2,-2), u = (0, 1, 4), v = (-1, 1, 2), and w = (3, 1,…

A: since you have posted multiple question in this question which are not interlinked so i have solved…

Q: If X= { a, b, c, d } and Y = { f, b, d, g},      find. (i) X – Y           (ii) Y – X          (iii)…

A: The given sets are

Q: 6. Suppose A = (3, -2, 4), B = (-5, 7, 2) and C = (4, 6, -1), find A × B.A+B-C.

A:

Q: Let A={2,y,z} and B={3,x,z}. How many distinct elements are in (A×B)∩(B×A)

A: Given, A={2,y,z} B={3,x,z} How many distinct elements are in (A×B)∩(B×A) ?

Q: If u x = [1, -3,5], thenx =

A:

Q: If ~v = 〈 4, 1, 6〉 and ~w = 〈3, 2, 3〉, find ~v · ~w and ~v × ~w.

A: If ~v = 〈 4, 1, 6〉 and ~w = 〈3, 2, 3〉, find ~v · ~w and ~v × ~w.