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there is or there is not – lizusek

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2d
comment Simple explanation for number of solutions of system of linear equations
added general explanation
Apr
8
revised Simple explanation for number of solutions of system of linear equations
explanation added
Apr
8
comment Simple explanation for number of solutions of system of linear equations
well, it is easy to extend this into general nxn case, the important is determinant is less than n and then might be 0 or infinite number of solutions
Apr
8
answered Simple explanation for number of solutions of system of linear equations
Apr
7
answered Orthogonal vectors and linear systems
Apr
6
comment Finding two unknown vectors
I've upvoted yours also since indeed this is correct answer to the task described too
Apr
6
comment Finding two unknown vectors
this is only just one special case, but there are infinite number of solutions: one for each k
Apr
6
answered Finding two unknown vectors
Apr
6
comment find the number of solutions of the equation $a_1x_1+a_2x_2+…+a_nx_n=0$ in a linear space over Galois field
My confusion was because initially I thought about each x in equation as n-length vector. But this doesn't change anything, the answer in such a case is the same.
Apr
6
accepted find the number of solutions of the equation $a_1x_1+a_2x_2+…+a_nx_n=0$ in a linear space over Galois field
Apr
6
comment find the number of solutions of the equation $a_1x_1+a_2x_2+…+a_nx_n=0$ in a linear space over Galois field
Thank you very much
Apr
6
revised straightforward way to determine if this set is convex?
retagged
Apr
5
comment find the number of solutions of the equation $a_1x_1+a_2x_2+…+a_nx_n=0$ in a linear space over Galois field
Is the dimension of a set of solution equal to ( n - 1)? So there are n - 1 independent solutions, but how many total solutions are there? Is this p ^ ( n - 1) ?
Apr
5
revised find the number of solutions of the equation $a_1x_1+a_2x_2+…+a_nx_n=0$ in a linear space over Galois field
refactor
Apr
5
revised find the number of solutions of the equation $a_1x_1+a_2x_2+…+a_nx_n=0$ in a linear space over Galois field
refactor
Apr
5
comment find the number of solutions of the equation $a_1x_1+a_2x_2+…+a_nx_n=0$ in a linear space over Galois field
no, there are p^n vectors of length n in this space. Each element in vector is taken from F_p GF. How many solutions has the equation given?
Apr
5
asked find the number of solutions of the equation $a_1x_1+a_2x_2+…+a_nx_n=0$ in a linear space over Galois field
Mar
15
comment check if point is on a plane (using Heron formula ?)
this is not an answer to my question. I know this already. Can you tell if the idea of testing a,b,c,d parameters in my formula (as described in question) is correct based on this?
Mar
15
comment check if point is on a plane (using Heron formula ?)
this is what I said, precision of this formula (the correctness) is not important for me at the moment, I am interested in the correctness of the idea
Mar
15
comment check if point is on a plane (using Heron formula ?)
the formula was found on wikipedia. I am not sure of course of its precision - but the accuracy of the idea is important at the moment