Question: 2. (2 + 2 + 6 pts) A linear transformation T : R2 - R2 satisfies (121) - 121 and T 27]) - [2] .

2. (2 + 2 + 6 pts) A linear transformation T : R2 - R2 satisfies (121) - 121 and T 27]) - [2] . (HINT: You can answer (a) and (b) using a single row reduction.) (a) Compute a linear combination of (2, 7) and (-7, 2) that equals (1, 0). (b) Compute a linear combination of (2, 7) and (-7, 2) that equals (0, 1). (c) Compute the standard matrix of T

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