i dont understand this part guys like can anybody explain what he wants :
Let 𝐿:ℝ𝑚→ℝ𝑛
be defined by a matrix 𝐴
, where 𝐿(𝑣)=𝐴𝑣
, multiplication of the matrix 𝐴
( 𝑛×𝑚
) and vector 𝑣
( 𝑚×1
) resulting in the vector 𝑤
( 𝑛×1
).
Now try to guess, what should be the elements of matrix 𝐴
, corresponding to the transformation 𝐿:ℝ2→ℝ3
: