Let T be a linear transformation. Which of the following properties are must-have properties for the...

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Let T be a linear transformation from R2 to R2 (or from R3 to R3). Prove that T maps a straight line to a straight line or a point.
Let T be a linear transformation from R2 to R2 (or from R3 to R3). Prove that T maps parallel lines to parallel lines, a single line, a pair of points, or a single point.
Let T : be a linear transformation such that T(x1,x2) = (x1 + x2, 4x1 + 5x2). Find x such that T (x) = (3, 8). R? - R? 2
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