For Problems 11-14, determine orthogonal bases for rowspace(A) and colspace(A). 11. A = - [4 12. A = 13. A = -3 -9 -1 1 15 24 33 42 51 3 1 1 20-1 14 -2 1 52

Q: 1. 2x - 1 2x - 3 X x+1 2x + 1 2x² - x - 3 = 0

A: We can solve the given equation by using the cross multiplication method.

Q: Do the points (1, 0,−1), (0, 2, 3), (−2, 1, 1), and (4, 2, 3) lie in the same plane? Justify your…

A: To check: If the points (1, 0,−1), (0, 2, 3), (−2, 1, 1), and (4, 2, 3) lie in the same plane and…

Q: Multiply (3x- 1)(x² + 2x-4). 3x3 + 5x2 - 14x + 4 a. b. 3x3 + 7x2 + 14x + 4 3x3 + 5x2 - 1Ox +4 С. d.…

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Q: -5-4-3-2-1 4 2 1 y=-x-4 2 y = - 4x + 1 1 2 3 4 2 HA X y = 4x + y = 1 2 1 -x-4 2

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Q: 28. 2y (3)-y"-5y' - 2y = 0 29. y(3)+27y=0

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Q: et L1 be the line that passes through (2, 1,0) in the direction of (1, -1,2) and L2 be the line that…

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Q: (b) d = 3i + 2k b = 4i + 4j – 2k C = i – 2j + 3k, d = 2i – j+ 5k Compute (d x č). (ā – b)

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Q: 8. (S.15). Write P20 r2+2r-1 as a linear combination of the polynomials P21 r-r- 2, P22 2r2-r+3, P23…

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Q: 1. -7 x -6 + (-4)2 /(-22)  2. (-6)2 /9-(5-8) x 4 3. (-2a)3x(3a/5b)2 /(-4a2b) 4. 1-2a/2 + 6a-1/6…

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Q: Simplify Зх + 2у — х + 4у -3х- 2у

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Q: 9. Which of the following problems yield the same answer? I. -2v-3zp 8v-lz-5 ii. 4vz pz-2 1z°p ii.…

A: The expressions are :

Q: divide ex 1: (16p3+8p2+5p)+4p ex2: (5ox2+15x-35)+(1ox-7) ex3: (10x3+25x2+30x+10)+(10x+5)…

A: 1.) (16p3+8p2+5p) + 4p = 16p3+8p2+(5+4)p = 16p3+8p2+9p   2.) (5ox2+15x-35)+(1ox-7) = 50x2+(15+10)x…

Q: -1 0 -6 9- Let D = 4 Find -2D = 2.

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Q: 4.a) Is the equation Exact? * (y2 – 2xy + 6x)dx + (-x² + 2xy – 2)dy = 0 O Yes, the equation is…

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Q: Suppose [V] B₁ [V] B₂ = 7 1 3 -[-]-* *, - {{; } [³])} and B₂ - {[²][³])}; [ 2 ] = find B₂ = If B₁ =…

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Q: can someone explain to me which one of these 2 are

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Q: * Let z1 = 2 + i and z2 = 5 + 2 i. Find 3 z1/ ( z1 - z2) - (12/ 10 ) - (3/10)i O (1/10 ) + ( 3/10) i…

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Q: how to calculate the following problem  5(-7) – 2 (-4) + 6(-3)

A: Please see the attached image for the solution.In adding numbers of the same sign, just add the…

Q: 3. y = x2 - 2 -3 -2 -10 3D 2 3 X

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Q: 41 -5-4-3 2-1 1 2 3 4 5 x y = 3x - 5/3 5 y=-=x+3 3 5 y=-3x - 1²/2 - 3 5 y = -x +3 3

A: As we know that equation of line passing through the points (a,b) and (c,d) is y-b=d-bc-a(x-a)

Q: у %3D (х + 7)(2х* + 3х? + 5х — 1)

A: Giveny=x+72x4+3x2+5x−1

Q: Which system of inequalities best describes the given graph below?

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Q: 1/6a+1/4=1/2a-3/4

A: 16a+14=12a-34

Q: x - 3y = -6 %3D 14 7x- Зу %3D 12

A: We have given with two equations as :  x - 3y = -6…

Q: 3. the dot product of -

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Q: х+1 2х-1 b) Зx2+4х+1 + Зx2-5х-2

A: The given expression is  (x+1)/3x^2+4x+1 + (2x-1)/3x^2-5x-2

Q: (6y² - 3y-8y')-(3y - 2y-5y') Зу

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Q: State the product of 2 + 2y and it's conjugate in simplest radical form. 1. -4y 2. x-2y 3. +2x/2y+4y…

A: Here we will find the product of (x+2y) and its conjugate,

Q: These (:

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

Q: Which of the expressions below is not written as the difference of two squares? O A (4x² – 36)…

A: Four expression are : (1) 4x2-3636-4y2 (2) 81-x281-x2 (3) a6b4c2+1a6b4c2-1 (4) 4x6-16y84x6+16y8 We…