For the matrix A = R ANTOTT -2 1 300 -1 3 -2 1-3 4 1 1-3 let R be the reduced row echelon form (RREF) of A and R be the RREF of AT. Direct calculations give that -250 -4 10 0 6 5-70-6 [1 0 11 0 3] 0 1 300 00 0 10 00 0 00 00000 00000 3 [1 2 0 2 0 2 0 0 1 1 0 1 and R= 0 0 0 0 1 1 000000 000000 Find the bases for the row space and column space of the matrix A consisting entirely of row vectors, or column vectors, from A. What are the dimensions of the fundamental spaces row(A), col(A), null(A) and null(AT) for the matrix A?
For the matrix A = R ANTOTT -2 1 300 -1 3 -2 1-3 4 1 1-3 let R be the reduced row echelon form (RREF) of A and R be the RREF of AT. Direct calculations give that -250 -4 10 0 6 5-70-6 [1 0 11 0 3] 0 1 300 00 0 10 00 0 00 00000 00000 3 [1 2 0 2 0 2 0 0 1 1 0 1 and R= 0 0 0 0 1 1 000000 000000 Find the bases for the row space and column space of the matrix A consisting entirely of row vectors, or column vectors, from A. What are the dimensions of the fundamental spaces row(A), col(A), null(A) and null(AT) for the matrix A?
Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter2: Systems Of Linear Equations
Section2.2: Direct Methods For Solving Linear Systems
Problem 3CEXP
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