- #1
ivl
- 27
- 0
Dear all,
this is perhaps a trivial question, so I apologise in advance. Any help is greatly appreciated nonetheless.
==The Equation==
The equation under consideration is:
A(u)=B(v)
where A and B are n times n matrices, while u and v are n-dimensional vectors.
==The Question==
From the above equation, I would like to determine u as a function of v.
Question: is the only way of determining u as a function of v to require that A is invertible?
In other words, is it correct to say that the only way of solving the above equation for u is u=A^{-1}B(v) ?
Thanks a lot,
IVL
this is perhaps a trivial question, so I apologise in advance. Any help is greatly appreciated nonetheless.
==The Equation==
The equation under consideration is:
A(u)=B(v)
where A and B are n times n matrices, while u and v are n-dimensional vectors.
==The Question==
From the above equation, I would like to determine u as a function of v.
Question: is the only way of determining u as a function of v to require that A is invertible?
In other words, is it correct to say that the only way of solving the above equation for u is u=A^{-1}B(v) ?
Thanks a lot,
IVL