Which of the maps below are linear transformations? Mark all correct an-Swers. 0. T: P2 → R³ defined by T(a +bx + cx²) = (a + 1, b, c).Oa.T: R5 → R? defined by T(x1, X2, X3, X4, X5) = (x1,x2).Ob.o. T: R* → R defined by T(7) =< ï, (1,2, 3, 4) >.Oc.T: M22(R) → M22(R) defined by T(A) = A+ I2Od.o. = det(A).T : M3,3(R) → R defined by T(A) =Oe.

NOTE: Since we only answer up to 3 sub-parts, we’ll answer the first 3. Please resubmit the question…

Answered: T: P2 → R³ defined by T(a + bx + cx²) =…

T: P2 → R³ defined by T(a + bx + cx²) = (a + 1,6, c). T: R5 → R² defined by T(x1, x2, x3, X4, X5) = (x1,x2). T : R' → R defined by T(7) =< ¤, (1,2, 3, 4) >.

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

Which of the maps below are linear transformations? Mark all correct an-
Swers.

0. T: P2 → R³ defined by T(a +bx + cx²) = (a + 1, b, c).
Oa.
T: R5 → R? defined by T(x1, X2, X3, X4, X5) = (x1,x2).
Ob.
o. T: R* → R defined by T(7) =< ï, (1,2, 3, 4) >.
Oc.
T: M22(R) → M22(R) defined by T(A) = A+ I2
Od.
o. = det(A).
T : M3,3(R) → R defined by T(A) =
Oe.

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