A,X and B are 3 matrices such that AX = B is representing a system of linear equations and if B is not in the span of the columns of A, what does it mean?

Question

A,X and B are 3 matrices such that AX = B is representing a system of linear equations and if B is not in the span of the columns of A,  what does it mean?

amistre64 · Answer

then B cannot be created by a linear combonation of the column vectors of A

amistre64 · Answer

you get an augmetned matrix that is inconsistent i think

anonymous · Answer

ya the situation is like this system is has more unknowns than equations.

amistre64 · Answer

i think a system of more unknowns that eqs would define a parametric form of infinitely many solutions tho ...

amistre64 · Answer

123|4
225|3

for example, lets see what it does

anonymous · Answer

can u please explain what it means exactly

|dw:1330707658694:dw|