Suppose [v] is as follows. B₂ [V]B₁ [V]B₂] 2 = = 6 8 10 If ordered bases B₁ B₁ = {[7] [4]} and B₂ = {[:] [ ¹}} find [v] B₁ 9 3 - 00 1 14 13 14

Q: If u= (2, 1) and v= (4, –16), find 4u+ v. 4 Select the correct answer below: O (9,0) O (6. –15) О…

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Q: u= (2, 1, –1) v = (-4, 3a + B, 2) w = (a, 0, 26) Find the values of a and ß such that u is parallel…

A: In this question we will use basic of calculus i.e concept of vector product. We will use the…

Q: Peram the oprations .

A: Since you have posted multiple questions, we will solve the first one for you. If you want any…

Q: Find (a) ∣A∣, (b) ∣B∣, (c) AB, and (d) ∣AB∣. Then verify that ∣A∣∣B∣ = ∣AB∣.

A: Hello! Thank you for the question but as per our honor code we'll able to solve only three sub -…

Q: Verify that (AB)T = BTAT.

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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: 23. Given v4 = 7i - 3j and v5 = i +4j. Simplify the following. V4 + 4V5 a. (-11, 19) b. (11,-19) c.…

A: We are given that      V4 = 7i - 3j     V5 = i + 4j we need to find    V4 + 4V5 .

Q: Let i = (2, –1, 5) and ū = (5, –7,3). Find 37 – 5ū. %3D - А. (-19, —32, 0) В. (-19, 32, 0) С. (19,…

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Q: Q1: Simplify using laws p↔q v r   Q2: Simplify using laws ~p v q →p ∧ q

A: (1) Now p↔q≡p→q∧q→p By using implication law, p→q≡¬p∨qq→p≡¬q∨p So,…

Q: Let u (9, 9, 8) and = (-9, -1, - 8). = Find proj, (u). -

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Q: Let u == (7,5,-5) and = (−1, −2, 2). Compute the following: u v . . = 2 7(ū. v) = (7) · v = ū. (77)…

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Q: Suppose Zı= 4+4i , Z2= 5 +7i. Evaluate (a) 2 Z1– 4 Z2 Z2 (b) 3 Z1

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Q: 2 4 -10 -1 0 -6 -3 1 1 2. Let B = Determine the inverse, B.

A: The given question can be solved as shown in step2

Q: 17. Show that Z () = zlog

A: Z-tramsform

Q: Calculate the commutators [p(hat)x3, x(hat)].

A: We have to calculate the following commutators. p^x3 , x^ Introduction: Commutation of operator A^…

Q: Suppose v4 = 20 – 02 + 503. Let w = 601 + 202 – 303 – 204. (a) Write w as a linear combination of…

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Q: t Given that A =| u and det(A) = -5, evaluate the following: a. det(A) = b. det(AT) = С. det(3A) =…

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

A: Given:-u→=<3, -4, -10> andv→=<-7, -2,  0>

Q: Express w as a linear combination of u and v. 4 --}-}--[:] W = 6 u 3 2 6 6

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Q: uppose ū = (1, −3,−1) and v = (1, -5, -5). Then:

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Q: Q2. Find the inverse of 2 1 1 0 1 0 5 4 1 3 if it exists.

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Q: V. Let u¯= (-7, –2) and v= (-7, -1). Find u Select the correct answer below: O (0, 1) O (14,3) O (0,…

A: Given u→=-7, -2 and v→=-7, -1

Q: Which of the following are NOT polynomials? I.  \sqrt(x-9) II.   x^8−14x+1 III.  1/2⋅x+0.149 IV.…

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Q: 3. Is B the inverse of A? [17 25 ‚B = -2 3 -25 (d) A = 17 [17 25] 24 36 3 (e) A= %3D -2 12

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Q: valuate a.j8 1 b.- ¡7

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

Q: Given u and v, find proj, u. и%3D-7, -4, -9] v = [-8, –6, 9] proj, u = %3D | Ex: 1.234 , Ex: 1.234…

A: We use the definition of Dot Product of vectors, Length of a vector, and Projection of one vector…

Q: q9

A: Finding the projection of u → onto v →:   projv →u →=v →·u →v →2·v →Here v=2i-2j-4k or (2,-2,-4)…

Q: Suppose u = (-3,0,0) and v = (-3,-2,3). Then: u +0= u – T= | 3u= 7u – 30=

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Q: Simplify. (3- 2i) (4 - i) O A. 14 - 1li B. 10 - 11i O C. 12 - 3i O D. 12 + 2i

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Q: 4. (a) Given the digraph G = (V, E) below, list out V and E. V₁ JS Ju (b) Given the digraph G = (V,…

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Q: Find the following.           u = ⟨0, 1⟩, v = ⟨3, −3⟩

A: Since you have posted a question with multiple sub-parts, we will solve the first three sub-parts…

Q: Salling elution uSin) matrice f. 22 I1-1o Ta-12 Ia =24 -1oI+38I2-413 -12I 4 I 2 1673=-6 t

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Q: v1 =[ 2 5 1 ] , v2 =[ − 3 1 − 1 ] , b =[ 11 19 5 ] Show that b is in Span{v1,v2}. Express b as a…

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Q: A. Classify the following polynomials as to degree. 1. 4x2 + 3x - 7x + 8 6. 3 + 3x? 2. x + 2x - 5 7.…

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