If A = {2,3} and B = {x|x EZ, x<3}, then A x B = Select one: O a. {(1,2), (1, 3), (2, 2), (2,3)} O b. {(1,2), (2, 2), (3, 3), (3, 2)} {(2,1), (2, 2), (3, 1), (3, 2)} {(2, 1), (2, 2), (2, 3), (3, 1), (3, 2), (3,3)} O c. O d. O e. none of the above

Q: Find AB such that [3 1 21 T-1 A = 2 1 2 and B =|4 [1 2 2] -2 -5]

A: The solution is given as

Q: Let A 1 value of k. [23] A and B = 1 -7 217 k If AB = BA, find the

A:

Q: With f = {(0,6), (1,3), (4,7), (5,8)} and g = {(-1, 2), (1, 4) , (2,3), (4,8)) Determines: A) f +…

A: Given f = {(0,6), (1,3), (4,7), (5,8)} and g = {(-1, 2), (1, 4) , (2,3), (4,8)) The domain of f =…

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: Compute each of the following. b. (3)* d. (-3). f. (1)** a. (- 10) - (" 10)° C. 50 147 e. g. 4+3 5-2…

A: Since you have asked multiple question, we will solve the first 3 question for you as per our guide…

Q: let u=(1,2,3), v=(3,2,1) and w=(4,5,6) u.(2v)= Select one: 1/20 20 -20 -1/20

A: The given vectors are: u=(1, 2, 3)v=(3, 2, 1)w=(4, 5, 6)

Q: 9. Let u = : (4, -1), v = (0, 5), and w = (-3, -3). Find the com- ponents of a. u + w c. 2(u - 5w)…

A: We have u=(4,-1)v=(0,5)w=(-3,-3)

Q: J1, 1), К(3, 2), L(4, 1) and M(6, 1), N(5, 2), P(2, 1) 3)

A: Below Image has the graph with points plotted on Coordinate Axes.

Q: Let a = (1,2, 3), b = (1,0, –1) and c = (2, 1, 3). (a) Verify that a · (2 b+c) =2(a · b) + (a · c).

A: a=(1,2,3) , b=(1,0,-1) and c=(2,1,3)

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

A:

Q: 2. If f(x) = ((-4,4) (-3,0)(-2,8)(-1,-2)(0,-4) (1,5)) and g(x) = {(-3,0)(-1,6) (1,-4)(3,-2)),…

A: "Since you have posted a question with multisubparts, we will solve the first three subparts for…

Q: Let ā= (2, 5, 7) and 6 = (1, 3, 4). (a - b) × (a + b) = X (3,16,33) X

A:

Q: Let ā = (1, 3,-1) and b (-1,0, 2). What is the y-component of ā x b %3D %3D 1 -1 3.

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: If x=y+qp and f=xy+qp² Express x in terms of q,p and f

A:

Q: 2. (6 marks) Let a, b, c € Z with a 0. Prove that if a X (a + 2b + 3c), then a Xb or a Xc.

A:

Q: Find x, y, z and w if (::)-(; )-(.. ") 4 x + y 3 -1 2w z + w 3

A:

Q: Show that (a + b)x = ax + bx for all a, b E F and all x € F¹.

A:

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

A: Given:-u→=&lt;3, -4, -10&gt; andv→=&lt;-7, -2,  0&gt;

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: (a) If A₁ = {-i, -(i − 1), . . .−3,−2,−1, 0, 1, 2 }, for i = 1, 2, 3,. . . find (i) Un A6 and (ii)…

A: "Since you have asked multiple questions, we will solve the first question for you. If you want any…

Q: Find Ax Bx C where A = {1,5}, B={13,17} , C={0}. O (1,13, 0), (1, 17, 0), (5, 13, 0), (17, 5, 0) O…

A:

Q: If z=x2sinh 4 then 02z дхду

A: Explanation of the answer is as follows

Q: [1 3 0] If A = 1 2 1, then the Accompanying worker for Lo 1 4] 1. (a2,) | A. -4 В. -12 2. (a32) 3.…

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 (AB)T and BTAT are equal.

A: Now,

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

A: S?

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: Fiven with z1 = (-3,1) and z2 = (1, 4). Show that |21 2| = |21||2|- %3D

A: Complex number and it's modulus

Q: Let F = [2 -3 w 1 5 -2] and G = [8 x -6 7 -2 1 4 y -5], and P = [7 23 z q -12 9] ; suppose FG = P,…

A: Consider the provided question, F=2-3w15-2,  and G=8x-67-214y-5, and P=723zq-129 Suppose that, FG=P…

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

A: