Elementary Matrices

Question

Elementary Matrices

vheah · Answer

Consider the matrix 

A = [  1 0 ]
       [  2 3 ]
** those are supposed to be brackets XD 

a.) find the elementary matrices $$E _{1} and E _{2}$$ such that 
$$E _{1}(E _{2}) = I $$

b.) Write A^-1 as a product of elementary matrices.

c.) Write A as a product of elementary matrices.

kainui · Answer

Well, this is strange cause there are many possible elementary matrices that have inverses, not just $E_1$ and $E_2$, so I'm not sure what you're expected to do with that.

I was gonna say, well you can find the elementary matrices that make up A and $A^{-1}$ but that's part b and c, so that's different. I think I'm missing some info for the question lol

jhonyy9 · Answer

|dw:1473376845136:dw|

do you think it hence ?