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annas
let L: R^2 -> R^2 be defined by L(x,y)= (x-2y,x+2y) let s= {(1,-1),(0,1)} be a basis for R^2 and let T be the natural basis for R^2. find the matrix representing L with respect to a) S b) S and T c) T and S d) T
@myininaya need help just tell me the procedure how to solve
I will tell you how to do a). The rest is similar \[ L(1,-1)=\{3,-1\}=3 \{1,-1\}+2 \{0,1\}\\ L(0,1)=\{-2,2\}=-2 \{1,-1\}+0\{0,1\}\\ M=\left( \begin{array}{cc} 3 & -2 \\ 2 & 0 \\ \end{array} \right) \]
sir where this 3 came from ???
Look at the first line.
sorry sire but still not getting the point ... please a bit more explanation
ok no i get it. its by simply putting values
thanks sire really appreciate your help :)