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romulo
Questions and answers by visitors named
romulo
Questions (6)
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
1 answer
1,281 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
1 answer
740 views
If a and b are positive integers, prove that;
ab = gcd(a,b)*lcm(a,b).
1 answer
585 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 v
IFF A^T = A^-1 where A
1 answer
460 views
Find the eigenvalues and eigenvectors for the standard matrix :
{ 1 -2 0} {-2 -1 1} {0 0 -1}
1 answer
400 views
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
2 answers
549 views