Consider the function mapping points of the plane into the plane, defined by . The range of this function is
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1 markMathematicsVector spaces, rank and eigenvaluesLinear maps, rank and projectionsModerateabout 2 min
DSE 2011 Question 2: Vector spaces, rank and eigenvalues
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Consider the function f mapping points of the plane into the plane, defined by f(x,y)=(x-y, x+y). The range of this function is (A) the 45 degree line. (B) a ray through the origin but not the 45 degree line. (C) the entire plane. (D) the first and third quadrants.
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This question is on Linear maps, rank and projections, part of Vector spaces, rank and eigenvalues in Mathematics.
Linear transformations, their range and rank, and projection operators.
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