If matrix A represents the orthogonal projection onto a plane V in R3, what is the

Chapter 4, Problem 44

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QUESTION:

If matrix A represents the orthogonal projection onto a plane V in R3, what is the dimension of the space of all matrices S such thatAS = S1 0 1 0 0 0 0 0 0See Exercise 43.

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QUESTION:

If matrix A represents the orthogonal projection onto a plane V in R3, what is the dimension of the space of all matrices S such thatAS = S1 0 1 0 0 0 0 0 0See Exercise 43.

ANSWER:

Step 1 of 4

The matrix  satisfies that

.

Where  is the orthogonal projection on a plane in .

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