7. Let T: R6 → R² be a linear operator such thatT(x1, x2, x3, x4, X5, X6)x1 + x2 + x3 x4+x5+x633 (d) What is the nullity of [T]?(e) Give a basis for the kernel of T.

Answered: Image /qna-images/answer/8d1ffbe2-377a-4046-9838-f2ff59376546.jpg

Answered: (d) What is the nullity of [T]? (e)…

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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(d) What is the nullity of [T]? (e) Give a basis for the kernel of T.