Consider the matrix (a) Show that A is a projection matrix. (b) Is A a perpendicular projection

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Consider the matrix

(a) Show that A is a projection matrix.

(b) Is A a perpendicular projection matrix? Why or why not?

(c) Describe the space that A projects onto and the space that A projects along. Sketch these spaces.

(d) Find another projection operator onto the space that A projects onto.

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