Consider the basis S = {v1, V2} for R2, where v1 = (1, 1) and v2 = (1, 0), and let T:R? – R2 be the linear operator for which T(v;) = (1, – 2) and T(v2) = (- 4, 1) Find a formula for T(x1, x2), and use that formula to find T(5, – 3). T(5, – 3) = (

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Consider the basis S = {V1, V2} for R?, where v; = (1, 1) and v2 = (1, 0), and let T:R? - R2 be the linear operator for which
T(v;) = (1, – 2) and T(v2) = (- 4, 1)
Find a formula for T(x1, X2), and use that formula to find T(5, - 3).
T(5, – 3) = (
Transcribed Image Text:Consider the basis S = {V1, V2} for R?, where v; = (1, 1) and v2 = (1, 0), and let T:R? - R2 be the linear operator for which T(v;) = (1, – 2) and T(v2) = (- 4, 1) Find a formula for T(x1, X2), and use that formula to find T(5, - 3). T(5, – 3) = (
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