Let u = (1, –3) and v = (2,5) in R². (a) Find (u, v) and ||v|| with respect to the standard inner product on R?. (b) Find (u, v) and ||v|| with respect to the inner product defined on R? by ((T1, 12), (Y1, Y2)) = x1Y1 – 201Y2 – 202Y1 + 5x2Y2. -

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A:

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A: Given problem is : find the quadratic polynomial whose zeroes are (I) 3,-4 (ii) 2,1

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A:

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A: Given,           z2(p2+q2)=x2+y2

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A: Write as a product of irreducible polynomials over .

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A: See the answer below

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A:

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A: Given vectors  a→=2 , -4 , 1b→=0 , 3 , -1c→=5 , -3 , 3

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A:

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A: Topic = Complex number

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A: Multiply the numerator and denominator by the complex conjugate of 5-4j

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A: Assume K is a field that includes the square roots of both 2 and -2. The formula for the element  α=…

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A: Sturm's method.

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A:

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A:

Q: Find the quotient and the remainder when  2x^4+3x^3+x+1 is divided by 3x^2+1 in Z5[x].

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A:

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