3. For each of the following pairs of ordered bases 3 and ß' for P₂(R), find the change of coordinate matrix that changes '-coordinates into B-coordinates. (a) B = {x², x, 1} and B' {azæx +a1+ao,b2x +b1 + bo, c2x +c1+cỏ} (b) ß= {1, x, x²} and B' = {a2x +a1+ao, b2x +b1 + bo, C2 +c1+co} (c) _ß = {2x² − x, 3x² + 1,x²} and ß' = {1, x, x²} (d)_ß = {x² − x + 1,x+1, x² + 1} and ß' = {x² + x +4, 4x² 3x +2, 2x² + 3} (e) _ß = {x² − x, x² + 1, x − 1} and - = B' = {5x² · 2x −3,−2x² + 5x +5, 2x² − x − 3} -

Q: If P(A) = 0.5, P(B)= 0.40 and P(A U B) = 0.70, find P(A/B) and P(A U B) where A is the complement of…

A: HERE GIVEN, p(A) = 0.5 p(B) = 0.40 p(A ∪ B) = 0.70

Q: E (ax, + by, + c) =

A: Let (x1, x2, x3, ..., xn) and (y1, y2, y3,..., yn) be finite sequence of numbers of the same length,…

Q: Find u − v, 2(u + 3v), and 2v − u. u =  (6, −7, 8, 3),       v = (−2, , 7/3, −8/3 , −1)

A:

Q: If(a + ib) (c + id) (e + if) (g + ih) = A + iB, then show that: (a2+b2) (c2+d2) (e2+f2)(g2+ h2) =…

A:

Q: Find (a) u × v, (b) v × u, and (c) v × v.…

A: Given : u =0,2,1v = 1,-3,4(a) u x v = ijk0211-34u x v =i 21-34    -j0114  +k021-3          = i(8+3)…

Q: Find u x v, v x u, and v x v. u = (2, -9, –1) v = (9, -2, -6) (a) ux v (b) v xu (c) v x v V

A: We need to find cross product.

Q: Cx-3) Gょ2)tG3)

A:

Q: Then using Euler's method, the approximation of the solution at t=0.2, that is, y(0.2)=0.9 Select…

A:

Q: Let u = 4u + 5v (9, -2, -8) and v = (4, −3, −1).

A: The required solution is:<56,-23,-37>Explanation:

Q: True or false: If (a,b) = (a,c) = 2, then (b,c) = 2

A: a, b=a, c=2

Q: 7) J(1, 1), K(3, 2), L(4, 1) and M(6, 1), N(5, 2), P(2, 1) 8) E(0, -5), F(-1, -3

A:

Q: Find u · v, u· u, v||2, (u · v)v, and u · (3v). u = (4, 11), v = (-2, 3) (a) u. v 25 (b) u.u 137 (c)…

A:

Q: Just need ( d ) & (e ) answered , per your policy

A: Venn diagram is the mathematical model that used to measure the number of groups. Venn diagram used…

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A: given vectors

Q: Given = (2,6), u = (-1,4), and u = (3,-7), find each of the following. - - a. u + v b. w-v c. w.u

A: Since you have asked multiple part question, we will solve the first 3 part of thequestion for you…

Q: Find (a) u − v, (b) 2(u + 3v), and (c) 2v − u. u = (−7, 0, 0, 0, 9), v = (2, −3, −2, 3, 3)

A: a). b).

Q: -27 [11 i). a, =| C 7 b=-5 ,az : |5 [1 ii). a, =0 ,a, |-2 5 ,b: -7 8. 3. 2.

A: Find the system of equation and solve

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A:

Q: b.) /2x – 2 - Vx + 6+1 = 0

A:

Q: For test taking, do you retain information better writing it down with paper and pen or typing on a…

A: There are 2 groups of students. The students are given a crash course to study. One group have to…

Q: Let à (6, 7, 4) and 6=(3,2,2). = (a - b) × (a + b) i

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A: Given : To prove : aa+b=cc+d

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A: follow next step

Q: 2. (14 points) Let X and Y have the following joint probability density function(pdf): if 0 < x < 1,…

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Q: d. (7, -5) h. (0, 1) c.(-8, 7) g. (7,-1) b. (-6, 6) a. (3, 8) f. (-4,-8) e. (5,-4) Part 1 out of 8…

A:

Q: -1 1 1 -2 Let A= Then, ||A|l2 = Select one: a. 8+45 b. 7+45 C. 9+45 d. 10+45 2. 2.

A:

Q: u = ⟨−7, −1⟩, v = ⟨−4, −1⟩, find (a) u ∙ v, (b) u ∙ u, (c) || v ||2 , (d) (u ∙ v)v, and      (e) u ∙…

A: Hey, since there are multiple subparts are posted, we will answer first three subparts.

Q: If a = (2, -1, 3) and b = (2, 2, 1), find the following. a x b = b x a =

A:

Q: 2. DG = 3x - 3 2x +2, EF D. G.

A:

Q: Find C - A + B -4 3 [ 3 2 -3 6.5 1 6) A = 6 6 V14 1 C = 1 - 3 6, B = 1 11 3 - 9 2

A: Given, The matrices A = 5-366614 B = -436.511311 C = 321-1392  We have to find C-A+B

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A: Given questions,  it is asked to add or multiply .

Q: x2 y2 (4,1) 22. 21

A: Given : G and MID POINT M IS GIVEN  G(-4,1) AND M (-13/2, -6) FIND : SECOND END POINT H