3. Assume B, C, D, E are all bases for R2. If (:)- 3 2 -1 1 PB-E = PD-C = PE-C = %3D 2 -1 3. what is PD-B?

Q: If (a, b) (а, с) 1, then %3D (a, b - c) = 1 This option (ab, c) = 1 This option (a, b + c) = 1 This…

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Q: 1. If x=27-3k and y = i +5j -4k, express each of the following in terms of i, j, k b) 2(3x+y)-3(4y…

A: Given x→=2i→-3k→ & y→=i→+5j→-4k→To write expression in terms of i→,j→,k→:

Q: 2. K-5InX+3 find dw dr dw

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Q: 1 1 2 f(2x+2) = х 2х 3 f(4) = ? 14 - -3 4

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Q: 122 SSS(2x- (2x+3y+z)dxdydz

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Q: [2 3 2. Given A = 30 2 B = C= -2]. Verify that (AB)C = A(BC) %3D

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Q: What is the 1st term in an arithmetic sequence whose 26th term 165 and common difference 6?

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Q: 2-₁ {2+-+5} 25. Evaluate L-1 (a) et+e-3t U (b) 2e-t+11e-3t (c) 2e- +11te-3t (d) e-t+11te-3t

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Q: In (IR, 7sorg), if A = T. sorg :n EN and B = (2, 3) then AUB=

A: A closure is the smallest closed set containing A.

Q: nsider the differential equation z' = (e" – 1)(x - 3)(5- a) • a) Find the equilibrium points. b)…

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Q: 4. Define = {1,2,3,4,5,6} and A₁ = {i} for i = 1,2, ...,6, B = {1,4}, C = {2,3,4}, D = {1,2,3} and E…

A: here given,   Ω={1,2,3,4,5,6,} Ai={i} , i=1,2,3,4,5,6 B={1,4} C={2,3,4} D={1,2,3}…

Q: 2. Prove that if a, b e R, then (a) -(a + b) = (-a) +(-b), (c) 1/(-a) = –(1/a), (b) (-a)·(-b) = a ·…

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Q: (7- 8)2 | /8-ん (e-)」ade-)|I/8-ん Hence, 2By < 1, (7 – 6)2 vhich can be written as |a(y – 8) + 3||y –…

A: I have only deducted the green part as per your request.

Q: 2 let -27 Aslo -3 1470 -4 find AB+BA,AA"AA, (3A=2B)°C A'C..

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

Q: Compute det A, det B, det (AB), and det (A + B) for -2 1 2 +*+ A = -3 -1 -4 4 −1 3 det A = det (AB)…

A: A=-212-3-1-44-13  B=2-3-4-1-3-3217

Q: Compute det B4 where B = det B4 = 102 2 14 2 3 1 (Simplify your answer.)

A: Given: The matrix .To find .Concepts used:To find the determinant of a square matrix, pick any row…

Q: 12) Зх - 5у%3D17 y = -7

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Q: If n/(a – b) and lcm(2b, 2n) = 2, then gcd(2a, 2n) = %3D %3D

A: We have to find the gcd of the two numbers   gcd= greatest common divisor the two numbers are 2a…

Q: If v = -2 4 and w = 4 11 3 " compute proj(w) and proj(w).

A: (.) Given vectors are,      (.)  If  are two vectors then,         (.) Vector  is an orthogonal…

Q: -1 -4] [7 111 5 ,B = |2 [4 -8 Find AB, given A -1 7. 3

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Q: [-1 2 Q5/ Let A = |-2 5 -3] 3 4 ,then the C33 is 0 1 -1 -10 -2

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Q: 9. If 4x(y+2) ソー3 O J6 4x(y+2) – 2x, y # 3 or -2, and x #0,2= ソ-3 y+2 A) B) C) 2 1/8112 28

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Q: Let A = PDP-1 and P and D as shown below. Compute A4. P= 2 -3 5 -3 D= 10 1 2 0

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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: 11. (a-b)³ +3ab(a-b) a²+ab+b² a. b. a-b C. a+b a²+ab+b² e. b²-a a²+ab+b² d. ab is equal to: not in…

A: We will find the required.

Q: Question 16 Evaluate: (A +C 글지(Sx + 3) +C В C 2x D x++x ]+C

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Q: A=[1 2 3 5, 9 13 26 15, 4 -1 0 3, 6 9 11 7] compute A-1

A: Given matrix is  A = 123591326154-10369117 find A-1

Q: If z=x2sinh 4 then 02z дхду

A: Explanation of the answer is as follows

Q: -2 -1 2 01 4 5 3 21 3. Which of the following 5] 1 -31 , B = B. and C = Let A = -1 6. 2 4 is the…

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Q: 6. b = 1+35 + 35, 5 +3 A, 5+3-1= B a. If (25)* = (125) then determine y: x b. Show that, b³-3b-6b-4=…

A: Note:- For this problem, you don't mention about "b" in part (b), Will i have to use values of b and…

Q: x – y = 1 - 2y -:= -1 18 - 3x + 2: = 3 Yukarıdaki sistemin katsayılar matrisi açağıdaktilerden…

A: To find the coefficient matrix of the given system: x-y+0z=10x-2y-z=-13x+0y+2z=3

Q: If JG = 5x + 4, JH = 3y + 2, JF = 14, HK = 4z - 8, and KF = 12, find x, y, and z.

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Q: 3 1 4 -2 01 3. et A = O 2 B= -3 2 2 2 -4 Compute (2 A)"+CB+A)- AB +(BA)T.

A: Given:  A=314-201122B=102-3112-41 To Find:  To copute 2AT+B+A-AB+BAT.