Question: Please help me with these 2 problems, thank you!!! Question 6. Show that an orthogonal transformation L from R to R preserves angles: The angle

Please help me with these 2 problems, thank you!!!

Question 6. Show that an orthogonal transformation L from R" to R" preserves angles: The angle between two nonzero vectors v and w in R" equals the angle between L() and L(w). Conversely, is any linear transfor- mation that preserves angles orthogonal? n Question 7. Does the formula ||xll := C x, define a norm on R"? i=1

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