Describe all least-squares solutions of the equation Ax = b. A = 110 1 101 b= 01 The least-squares solutions are all vectors of the form x = (Simplify your answers.) + X3 with x3 free.

Q: The vector h = 16 -25 can be written as a linear combination of h 3 -5 -12 and 2 B -3. Find the…

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Q: If a and 3 are the roots of the quadratic 3r² – 4.x + 6 = 0, find the value of ( + )

A: We have to solve given problem:

Q: If the sum of the roots of the equation 1/(x+ a) + 1/(x + b) = 1/c is zero, then prove that the…

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Q: ind positive constants b and n, such that 3n + 2 n.

A: Finding the values of b and no

Q: Solve; (2x+3y-2)dx+(3x-4y+1)dy = 0 H.W

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Q: et V₁ = (1, -2,-2), V₂ = (0, -1, -2), V3 = (2, -4,-5). re the vectors 1, 2 and 3 linearly…

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Q: b. Express each equationin standard form 1. 12y2 – 4x2 – 16x + 72y + 44 = 0 2. x2 – 2y2 + 6x + 4y +…

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Q: Let V₁ 12 [] -3 15 V₂ 12 H 3 2 = Are the vectors 7₁, 72 and 3 linearly independent? choose 15 + 3 H…

A: Given that the vectors v1=-1215-3 , v2=3-612  , v3=-1419-11  .

Q: Exercise Find the roots of x2 – 3ix + (-3+i).

A: Topic = Algebra

Q: -6x2-5x+6.   The two roots of x=_____ and x=_____

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Q: Express in the form a+ bi. -21

A: Our Aim is to express 51+2i-(i) in the form a+bi

Q: Which of the following equations is a quadratic equation? O 14x (x2 + 1) = 15 O (x2 + 5) (x² - 5x +…

A: topic -  quadratic equation