Let A be a 3 x 4 matrix such that solutions to Ax= 0 are linear combinations of X and X₂ where -(1)-( Find the null space of A. O 330. (b) Determine the rank of matrix A. Justify your answer. Compute the reduced row echelon form of matrix A.

Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter3: Matrices
Section3.5: Subspaces, Basis, Dimension, And Rank
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Let A be a 3 x 4 matrix such that solutions to AX = 0 are linear combinations of X₁ and X₂
where
(b)
(c)
Find the null space of A.
Determine the rank of matrix A. Justify your answer.
Compute the reduced row echelon form of matrix A.
Transcribed Image Text:Let A be a 3 x 4 matrix such that solutions to AX = 0 are linear combinations of X₁ and X₂ where (b) (c) Find the null space of A. Determine the rank of matrix A. Justify your answer. Compute the reduced row echelon form of matrix A.
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