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romulo

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If p is prime prove that p^1/2 (root p) is irrational.Generalize the proof that sqrt 2 is irrational. You can find several
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2. 624 views
Find the eigenvalues and eigenvectors for the standard matrix :{ 1 -2 0} {-2 -1 1} {0 0 -1}
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2. 467 views
Let u and v be vectors in R^n, and let T be a linear operator on R^n. Prove that T(u) dot T(v) = u dot vIFF A^T = A^-1 where A
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2. 528 views
If a and b are positive integers, prove that;ab = gcd(a,b)*lcm(a,b).
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2. 648 views
If a and b are positive integers, and m=lcm(a,b), explain why m divides any common multiple of a and b.The answer is in the
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2. 852 views
Prove by contradiction that for any even integer a and any odd integer b, 4 does not divide (a^2 + 2b^2).Proposition: That 4k (k
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2. 1,398 views