Suppose that a bowl contains 10 chips each uniquely numbered 0 through 9. The chips are thoroughly mixed, one is drawn and the number on it, X1, is noted. This chip is not replaced in the bowl. A second chip is drawn and the number on it, X2, is noted. Compute P(W = w) for every real number w when W = X1 + 10X2.

Q: Evaluate if x=4,8,3,-2 ∑x ∑x+1 ∑(x+1) 3∑x - 4

A: Given that  if x=4,8,3,-2

Q: 3. Given the polynomials p1 = t3 – 2t2 + 1, p2 = t2 – 4, p3 = t3 + 2t, p4 = 5t. Does this set of…

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Q: Q1-Using the nodes (x, =2, x-=2.5 and x; =4), to find the second interpolation polynomial for flx) =

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Q: find a if A=8a

A:

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A: Given data is12, 13, 15, 17 , 20

Q: A=[[3,2],[7,5]],B=[[2,6],[3,9]],AB=[[a,b],[c,d]] Determine the values of the entries in the product…

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Q: Find the dimension for M3,2

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Q: Find , if f = 1læ“ + 7y² ду 14y O O o 44x° + 14y 44x 3

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Q: Let B = [-1 1 4 -3] Find -4B

A: Solution

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A: Given: x12-1. We have to factor x12-1 as a product of irreducible polynomials over Z.

Q: Let a = 2i - 3j and b= 2j + 3k. Compute for the following: (a + b) · (a – b) None of the choices -8

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Q: Probability Question

A: Case 1: From the given information, 9-sided die with faces numbered 1 through 9. If the number on…

Q: Find x and y such that,  77815x - 8216y=(77815 , 8216

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Q: Let B = [b1, b2, b3] = -1 -1

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Q: Find x, and x2- -52 28 -5 5 X2 40 X =

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Q: – 4 1 -2 2 Compute:

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Q: Find the least common multiple for 6(x+ 1)'(x-4) and 10(x+1) (x-4).

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Q: If z 2 = Rep, then write za+iß as Ae B

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Q: xdx Evaluate x2 + 2x + 1

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Q: Find the zero-divisors of Z6.

A: To find The zero divisors of z_6.

Q: Solve for z. 96+x O 6 10 6. 11 12 13 14 15

A: We have to find

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A:

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

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Q: If A %3D аx + За, and B %3D 5ax + 2а, — баz, find @AB- АВ

A: ANGLE BETWEEN TWO VECTOR

Q: Find the interpolating polynomial of degree at most 2 that passes through the points (-2, 14), (1,…

A: Using Lagrange interpolating polynomial.

Q: Z4×Z6 has an element of order 24. true or false ?

A:

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.