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Consider the basis S = {v1, V2, V3} for R³, where v1 = (1, 1, 1), v2 = (1, 1, O), and v3 = (1, 0, 0), and let T:R3 → R3 be the linear operator for which T(v1) = (9, – 1, 18), T(v2) = (10, 0, 1), T(v3) = (- 1, 19, 1) Find a formula for T(x1, x2, X3), and use that formula to find T(9, 18, – 1). i T(9, 18, – 1) = ( i i

Consider the basis S = {v1, V2, V3} for R³, where v1 = (1, 1, 1), v2 = (1, 1, O), and v3 = (1, 0, 0), and let T:R3 → R3 be the linear operator for which T(v1) = (9, – 1, 18), T(v2) = (10, 0, 1), T(v3) = (- 1, 19, 1) Find a formula for T(x1, x2, X3), and use that formula to find T(9, 18, – 1). i T(9, 18, – 1) = ( i i

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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#9 exact number, no tolerance

Consider the basis S = {v1, V2, v3} for R3, where v1 = (1, 1, 1), v2 = (1, 1, 0), and V3 = (1, 0, 0), and let T:R3 → R3 be the linear operator for which T(v1) = (9, - 1, 18), T(v2) = (10,0, 1), T(v3) = (- 1, 19, 1) Find a formula for T(x1, x2, X3), and use that formula to find T(9, 18, – 1). i i T(9, 18, – 1) = (
Transcribed Image Text:Consider the basis S = {v1, V2, v3} for R3, where v1 = (1, 1, 1), v2 = (1, 1, 0), and V3 = (1, 0, 0), and let T:R3 → R3 be the linear operator for which T(v1) = (9, - 1, 18), T(v2) = (10,0, 1), T(v3) = (- 1, 19, 1) Find a formula for T(x1, x2, X3), and use that formula to find T(9, 18, – 1). i i T(9, 18, – 1) = (
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