Find the rank and nullity of the linear transformationа - ba-cT:P3+ R* where T(ax³ + bx2 + cx+ d) =%3D2а - dCa. none of theseO b. nullity=D0, rank-3O c. nullity=1, rank=3d. nullity=D0, rank3D4O e. nullity=3, rank=1

Given transformation is T:P3→ℝ4 given by Tax3+bx2+cx+d=a-ba-c2a-dc Let B=1, x, x2, x3 and…

Find the rank and nullity of the linear transformation a- b а - с T:P3+R* where T(ax3 + bx2 + cx+ d) = + CX 2а- d C a. none of these b. nullity=0, rank=D3 O c. nullity=1, rank-3 d. nullity=D0, rank-D4

Find the rank and nullity of the linear transformation a- b а - с T:P3+R* where T(ax3 + bx2 + cx+ d) = + CX 2а- d C a. none of these b. nullity=0, rank=D3 O c. nullity=1, rank-3 d. nullity=D0, rank-D4

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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Question

Find the rank and nullity of the linear transformation
а - b
a-c
T:P3+ R* where T(ax³ + bx2 + cx+ d) =
%3D
2а - d
C
a. none of these
O b. nullity=D0, rank-3
O c. nullity=1, rank=3
d. nullity=D0, rank3D4
O e. nullity=3, rank=1

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