2) Let T(a + bx + cx² + dx³) =i) A basis for Ker(T) would be:ii) The Nullity of T is:iii) The Rank of T is:·la3) Let Tbd eii) The Nullity of T is:=i) A basis for Ker(T) would be:iii) The Rank of T is:la + 2b + 1c + 2d0a + 2b + 3c+(-1)d-la+ (-1) b+ 0c +(-3) d-2a+ (-5) b+ (-4) c+(-3) d3d]la + 1b+ (-1) c + Od + le+ (-2) ƒ]la + 2b + 0c + (-2) d + 2e + (-1) fOa + 1b +2c + (-3) d + 3e +2f2a + 2b + (-3) c + 1d + le+(-5) ƒ]

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Answered: 2) Let T(a+bx+cx² + dx³) = i) A basis…

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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2) Let T(a+bx+cx² + dx³) = i) A basis for Ker(T) would be: ii) The Nullity of T is: iii) The Rank of T is: la + 2b + 1c + 2d -la + (-1) b+ 0c + (-3) d [ 14+26+1+20-214+ ]