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## Homework Statement

Let L : M 2x2 ---> R^3 be defined by L( a b ) = (a, b+c , d)

c d

a. Find ker(L), is L a 1-1 function?

b. What is the rank of L and does it map M 2x2 onto R^3

## Homework Equations

## The Attempt at a Solution

a. ker(L) = (0, 0, 0),

b. Rank= 3

c. 4= N + 3

N= 1 So it does map it

Can you guys see if this is right? It is an odd number in the book