Let F be the function from R to R defined by: F((x, y, z)) = (xy,...

Transcribed Image Text:

Let F be the function from R to R defined by: F((x, y, z)) = (xy, y + z) Show that F is not a linear transformation. 3. Let T be the linear transformation from M,2 to the space of function from R R defined by: T ([a b]) = b]) = (a + b) x + c (You can take it as given that this actually defines a linear transformation). Determine whether the following matrices are in the nullspace of the transformation: 67.1 then determine whether the following function is in the image of the transformation: 3x + 1 Let F be the function from R to R defined by: F((x, y, z)) = (xy, y + z) Show that F is not a linear transformation. 3. Let T be the linear transformation from M,2 to the space of function from R R defined by: T ([a b]) = b]) = (a + b) x + c (You can take it as given that this actually defines a linear transformation). Determine whether the following matrices are in the nullspace of the transformation: 67.1 then determine whether the following function is in the image of the transformation: 3x + 1

Answer rating: 100% (QA)

The detailed ... View the full answer