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## Main Question or Discussion Point

I just start learning Image and Kernel of Linear Tranfsormation, I find it very confuseing that what is the relationship between span, image and kernel in Transformation T= Ax; x=vector.

Therefore I don't know how to describe the image and kernels of the transformation in :

Q1 : Reflection in the line y= x/3 in R-2

Q2 : Orthogonal projection onto the plane x+ 2y +3z = 0 in R-3

Can anyone help me?

Therefore I don't know how to describe the image and kernels of the transformation in :

Q1 : Reflection in the line y= x/3 in R-2

Q2 : Orthogonal projection onto the plane x+ 2y +3z = 0 in R-3

Can anyone help me?