Let the reduced row echelon form of A be0 1 3 -2 0 11 3 0 -4 020 0 00.0 00 0 00.1 5Determine the rank(A) and the other three columns of A if the first, third andsixth columns of A are (1, -2, -1, 3)*, (-1,1, 2, –4)*, and (3, -9, 2, 5)*.

Given matrix A=013-201130-402000000000015A=013-201130-402000000000015~130-402013-201000015000000The…

Answered: Let the reduced row echelon form of A…

Elementary Linear Algebra (MindTap Course List)

8th Edition

ISBN:9781305658004

Author:Ron Larson

Publisher:Ron Larson

Chapter1: Systems Of Linear Equations

Section1.CR: Review Exercises

Problem 57CR

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The two matrices A and B are row-equivalent. A=[240171112119121213516481162] B=[120032001053000117000000] (a) Find the rank of A. (b) Find the basis for the row space of A. (c) Find the basis for the column space of A. (d) Find the basis for the null space of A. (e) Is the last column of A in the span of the first three columns of A? (f) Are the first three column s of A linearly independent? (g) Is the last column of A in the span of columns 1, 3, and 4? (h) Are the columns 1, 3, and 4 linearly dependent?
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Let the reduced row echelon form of A be 0 1 3-2 0 1 130-4 0 2 0 0 0 0 0 0 0 0 1 5 Determine the rank(A) and the other three columns of A if the first, third and sixth columns of A are (1,-2,-1,3)', (-1, 1, 2, -4)*, and (3,-9, 2, 5)'.