How Do You Prove This Linear Transformation?

[ichigo444]

What does the transpose of: example, [1 0 -1]? how can you transpose that? For example the L([a b c]*) --> [a + b a - c]* how do i show that this is a linear transformation?


*this is transposed.

 

[gerben]

Transposing takes a row into a column, and a column into a row.

To show that L is a linear transformation you need to show that L(x+y) = L(x) + L(y) and L(cx) = cL(x)