C(A) = column of AR(A) = row of AN(A) = null of APlease help me out. Thank you **Problem 3:**The matrix $ A $ is given below. Find a basis for $ C(A) $, $ R(A) $, and $ N(A) $. Also, find the rank $ \text{rank}(A) $.\[A = \begin{bmatrix}1 & 2 & -1 & 0 & -2 \\2 & 1 & 1 & 3 & -1 \\4 & 4 & 1 & 3 & -3 \\1 & 1 & 1 & 0 & 0\end{bmatrix}\]

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Answered: 3. The matrix A is given below. Find a…

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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3. The matrix A is given below. Find a basis for C(A), R(A), and N(A). Also, find the rank(A) [1 -1 0 -21 2 1 1 3 -1 3 -3 A = 4 4 1 L1 1 1 0