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Suppose that we have some basis B = {b1, b2, b3} of R3. Use mathematical language (try to use as many mathematical equations as you

Suppose that we have some basis B = {b1, b2, b3} of R3. Use mathematical language (try to use as many mathematical equations as you can) to explain why knowing how a linear mapping L : R3 R4 acts on B is enough to know how the mapping acts on all of R3

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