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Q: Let N be a normal subgroup of G and let K/N be a normal subgroupof G/N. Prove that K is a normal sub...

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Q: Let A and B be n × n matrices and let x be a vector in Rn. How many scalar additions and multiplicat...

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Q: Two angles are complementary. One angle is 18° more than three times the other angle. Find the measu...

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Q: a set of marbles consisting of 4 red, 3 green, 2 blue, 3 orange, 2 yellow and 3 purple marbles. How ...

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Q: write properties of rational number?

A: Properties of rational numbers:

Q: Show that the Chebyshev polynomials have thefollowing properties: Tm(Tn(x)) = Tmn(x)

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Q: Prove that if A is an n × n matrix, then A − AT is skew-symmetric.

A: Let A be an n × n matrix, To prove : A-AT is skew-symmetric, that is (A-AT)T=-(A − AT)

Q: Use the elimination method to find all solutions of the system x^2−y^2+3=0 2x^2+y^2−4=0

A: First add both the equations and solve for x. Now substitute x2 into one of the original equation an...

Q: The monthly cost of driving a car depends on the number of miles driven. Lynn found that in May her ...

A: Let the distance driven = x Since there is a linear relationship between the monthly cost C of drivi...