* = -2x y2

Q: For the numbers 12, 13, 15, 17, 20 Compute: SX   SX2   (SX) 2

A: Given data is12, 13, 15, 17 , 20

Q: Let p, = 2t – 1 and p2 = t3 +2. Write three polynomials that are in span{p1, P2}-

A:

Q: Compute (2i + k) × (3j + 5k).

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Q: Find a polynomial that interpolates the following data points: (-1, −10), (1, 6), (2, 5).

A:

Q: Find the polynomials connecting the points (0,1), (1,3), and (2,13) ​​by quadratic interpolation.

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Q: Find a polynomial that interpolates (−1,0), (0, 2), (1, 1), (2, 2) using the Newton form.

A: x-1012f(x) 0212We have to find a polynomial using the newton form.

Q: Let a = (1, 3, 8) and b = (7, 3, 4). Compute 5a + 7b

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Q: Find sub spaces row (A), column (A) and null (A). Find rank 103 A=015

A: first we shall find rank of the matrix then find row space, column space and null space

Q: Find Least Squares Solution. 9 2b + 4c = -3 -за - 36 - Зc = 1 9-46+2c= -5 1

A: Given that a-2b+4c=-3-3a-3b-3c=1a-4b+2c=-5-a+2b-5c=2 Compare to Ax=b Where A=1-24-3-3-31-42-12-5 and…

Q: Suppose the second column of B is all zeros.  What can you say about the second column of AB?

A: If the second column of B is all Zeros, then the second column of AB will also be all Zeros.

Q: 3. Find both linear and quadratic interpolating polynomials for the points (-2,-13) , (-1,-3) ,…

A: We take given pairs of points as (x, y) x y -2 -13 -1 -3 1 -1 2 -9 3 17 We have…

Q: - 7x +2 g (x) = (x + 1) (x – 5) h(x) = -2 cos x+5 y = 4(x + 1)³ –7 x2 y = 4*+2 f (x) = -3x° + 6x¬² –…

A: To organize the following equations a polynomial or non polynomial.y=15x4-7x+2gx=x+1x-5y=5x2hx=-2…