Question: Consider a map L : R2 -> R2 defined by (a) Prove that L is a linear transformation. (b) Write down the standard matrix for

Consider a map L : R2 -> R2 defined by (a) Prove that L is a linear transformation. (b) Write down the standard matrix for L. (c) Is L onto? Is L one-to-one? Justify your answers. (d) (Optional: won't be graded.) Can you describe how L acts on vectors geometrically? You can try to compute some examples

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