Question

L(x, y) = ((4x − 2y)/5, (−2x + y)/5) 1.) What is the basis of Ker(L)...

L(x, y) = ((4x − 2y)/5, (−2x + y)/5)

1.) What is the basis of Ker(L) and Range(L)? Is it subjective and/or injective?

2.) Is the linear mapping L a rotation, a reflection, or a projection? Why?

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