Posted: Mar 14, 2019 11:11 am
Cito di Pense wrote:newolder wrote:
Is the square root of each prime number irrational?
Do the vectors (π, e) and (-π, e) form a basis for R2? That is, can we express any vector in R2 as a linear combination of these two vectors?
What about a vector in R2 whose 2-norm is a prime integer?
Those two vectors are not linearly dependent, so yeah.
What about the vector whose norm is a prime? What’s the question?