Projection in R3 In Exercises 49 and 50, let the matrix A represent the linear

Chapter 6, Problem 49

(choose chapter or problem)

In Exercises 49 and 50, let the matrix A represent the linear transformation \(T: R^{3} \rightarrow R^{3}\). Describe the orthogonal projection to which T maps every vector in \(R^{3}\).

\(A=\left[\begin{array}{lll} 1 & 0 & 0 \\ 0 & 0 & 0 \\ 0 & 0 & 1 \end{array}\right] \)

Text Transcription:

T: R^3 rightarrow R^3

R^3

A = [_0^01 _0^0^0 _1^0^0]

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