[2 - 3 2 - 3 and be express as A = LU as below L4 – 1 - 2 1 c) Let A = |1 | 01 [u11 U12 U13 [2 - 3 2 - 3 =| 21 1 L4 1 7 1 U23 2 - 1 2 [2 l32 1 U33 i) Find the values for lij and uij ii) Solve LY = B ,UX = Y for B = (1 4 8)" %3D iii) Verify B = AX

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: 5 + 6 x 2- 22 25. 7 3 3 - X 3 3 x 6

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Q: Let u = (1, 0, 2), v = (0, 1, 1) and w = (2,1,0). Which of the following statements are true? (i)…

A: As per our guideline, we are supposed to solve only first question. Kindly repost other question as…

Q: Find the lorgest power 의 alinieling ss! of 3. divic

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Q: 1) 0.1x + 0.008 = 0.06x – 0.172 2) -0.51x-3.2 = 0.8x + 7.28 3) -0.32x+ 0.18x = 0.25x - 1.95 %3D 4)…

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Q: then -A U= 4 5 and uTu · [

A: The given matrix

Q: a) Find ū - i b) Find w.u 1/2

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Q: 10) If 1+ abt = c where a, b, and c are positive, determine the value of t. %3D

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Q: Suppose ū = 2j + k, ū = 2i – 4j + 2k and w = -5i – j+ k. %3D Compute the following values:

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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: For the model y = Bo + B₁X₁ + B₂X₂ + ε, instead of coding the indicator for X₂ as (1,0), the analyst…

A: Given model is y=β0+β1X1+β2X2+ε Previous indicator of X2 is 1,0. New indicator of X2 is 0,1.

Q: 5. Show that b, is always positive, by establishing the equation (Qn-1,Qn-1) (Qn-2,Qn-2) b,

A: We will apply the properties of inner-product to prove the given statement.

Q: 4. Solve for x : a) V5x +1 = æ + 1 b) a = V3x +7 – 3 c) V2x – 3 – Va – 2 = 1

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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: LET Z Z₂ = FIND ZI 리 Z₂ 8+31 9-21 AND Z₂ Z₂

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Q: Show that is isomorphic to Z2.

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Q: all your calculations and simplify your answer completely. Il you only give a final an- Swer you…

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Q: j+ky-o Find k Iet yco)=lo0 andyc2)=4 3D0

A: Given that y'+ky=0 y(0)=100 and y(2)=4

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: Find 30|80 aw ду X (27),-¯ and aw Əy (Simplify your answer.) 2 at the point (w, x, y, z)=(-16,1,…

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Q: 6. Express in a + bi form: 2i(i + 3)

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Q: 1. If x=27-3k and y = 7+57-4k, express each of the following in terms of i, j, k a) 5x-2y

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Q: 2) Let T [ ] = DT [₁2 i] = i) 0 ii) 2T = 1 + (-c-d)x+ (-d)²x² + (a + c)³ x³. Then we have: -7 - =

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Q: If 1 A = -9 6 1 6. 2 -T and Q(#) = ' Až, then Q(z1, 12, T3) = Enter z1 as x1, 12 as x2, and 13 as…

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Q: a) If Z1 = -3 + 3i and Z2 = 4i. Show that: i) Arg(Z,Z2) + Arg(Z,) + Arg(Z2) ii) Arg (2) = Arg(Z,) –…

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Q: Show mathematically that (10-6) is not independent of (10-1),(10-3), and (10-4).

A: We can write (10  -6) as:

Q: Show that if we make the change of variables =x – ct and n =x + ct, then, as in (16.7), a?u ,a²u a…

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

A: Complex number and it's modulus

Q: -2/2] 2 3) If A= and B 2 2v21. Show that A and B commutative.

A: The two matrices A and B are said to be commutative if AB=BA. The given matrices are…

Q: Glven that: -1 3 3. -2 3 -2 5. 4 -1 → rref(A) = -5 4 -3 6. -2 4. 6. 0 0 Rank(A) = Nullity(A) - %3D…

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Q: 11) Find x if ST=x+3 and SU=2x/

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Q: 2.2.12 Prove that if x and y positive real numbers, then Vx+y # Vx+ Vy. Argue by contradiction. are

A: Let x and y are positive real numbers. Also let x+y=x+y Now squaring on both side,we get…

Q: Uz + xuy = x²y, u (x, 2x + = 5x 2 %3D

A: Lagrange method for solving partial differential equation: Let us consider differential equation:…

Q: The diagram is a sketch graph of f(x) = 2 sin x and 0° s xs 360° and g(x) = sin 2x and %3D %3D 0°…

A: We’ll answer the first question since the exact one wasn’t specified. Please submit a new question…