Matrix Problem

**ferrarri1500** · February 18th 2009, 08:00 PM

Suppose A is a 3 x n matrix whose columns span R^3. Explain how to construct an n x 2 matrix D such that AD=I3?

**math2009** · February 18th 2009, 09:30 PM

$AD\rightarrow 3(\times n \times n) \times 2 \rightarrow 3\times 2 \rightarrow R^{3\times 2},AD=I_3?$ , Are you sure ?

$if\ D\in R^{n\times 3},D=[\vec{v}_1,\vec{v}_2,\vec{v}_3], find\ AD=I_3,$
We could do $AD=A[\vec{v}_1,\vec{v}_2,\vec{v}_3]=[A\vec{v}_1,A\vec{v}_2,A\vec{v}_3]=[\vec{e}_1\ \ \vec{e}_2\ \ \vec{e}_3]$
To resolute $A\vec{v}_i=\vec{e}_i$ is easy.

Thread: Matrix Problem

LinkBack

Thread Tools

Display

Matrix Problem

Similar Math Help Forum Discussions

Any Matrix experts out there? Matrix problem...

Matrix Problem

matrix problem

Help with Matrix Problem

Another matrix problem

Search Tags