Hey.
* Given a matrix A that is size m x n and m>n.
Let R be the RREF that we get by Gaussian elimination of A.
Prove that for every
the system equation Ax=b has a solution iff R doesn't have rows of zeros.
My attempt:
Maybe because b is supposed not to be equal to zero? And if we get some row of zeros we'll get that 0=b and it's a false proposition(?)
Not sure...
Thank you!
* Given a matrix A that is size m x n and m>n.
Let R be the RREF that we get by Gaussian elimination of A.
Prove that for every
My attempt:
Maybe because b is supposed not to be equal to zero? And if we get some row of zeros we'll get that 0=b and it's a false proposition(?)
Not sure...
Thank you!