SOLUTION: Determine which of the following maps f are linear: 1. f : R 3 → R2 2 defined by f(x, y, z) = (x, z)

Question 1203447: Determine which of the following maps f are linear:
1. f : R
3 → R2
2 defined by f(x, y, z) = (x, z)
Answer by ikleyn(52776)   (Show Source): You can put this solution on YOUR website!
.

This writing/printing is terrible, and it requires some mind efforts to decipher.

        If it is   f: --->   defined as   f(x,y,z) = (x,z),

        then it is a projection from      to the plane   (x,z).

        Projection is ALWAYS a linear map.

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