Let T: R2 R2 such that T(1, 0) = (1, 0) and T(0, 1) = (0,0)....

 

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Let T: R2 R2 such that T(1, 0) = (1, 0) and T(0, 1) = (0,0). (a) Determine T(x, y) for (x, y) in R². (b) Give a geometric description of T. OT is the projection of every vector in R2 onto the x-axis. OT maps every vector in R2 to its orthogonal projection in the xy-plane. OT maps every vector in R2 to its orthogonal projection in R³. OT is the projection of every vector in R2 onto the y-axis. OT is the projection of every vector in R2 onto the z-axis. Let T: R2 R2 such that T(1, 0) = (1, 0) and T(0, 1) = (0,0). (a) Determine T(x, y) for (x, y) in R². (b) Give a geometric description of T. OT is the projection of every vector in R2 onto the x-axis. OT maps every vector in R2 to its orthogonal projection in the xy-plane. OT maps every vector in R2 to its orthogonal projection in R³. OT is the projection of every vector in R2 onto the y-axis. OT is the projection of every vector in R2 onto the z-axis.