Question: (a) Show that the linear transformation in R2 that takes every point (a1, a2) to (a1, 0) is an orthogonal projection. Draw an illustration of

(a) Show that the linear transformation in R2 that takes every point (a1, a2) to (a1, 0) is an orthogonal projection. Draw an illustration of this orthogonal projection.

(b) Generalize this example to RN and zeroing out an arbitrary selection of elements.

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