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) = (
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) = (](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F0c8139be-0294-42ac-8185-68c558a5eef3%2F604785b2-cc3d-4a92-8efe-020919062bcb%2Fr2fuvv_processed.png&w=3840&q=75)
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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