Let A be a 6 × 5 matrix with linearly independent column vectors a1, a2, a3 and whose remaining column vectors satisfy a4 = a1 + 3a2 + a3, a5 = 2a1 − a3 (a) What is the dimension of N(A)? Explain. (b) Determine the reduced row echelon form of A.
Let A be a 6 × 5 matrix with linearly independent column vectors a1, a2, a3 and whose remaining column vectors satisfy a4 = a1 + 3a2 + a3, a5 = 2a1 − a3 (a) What is the dimension of N(A)? Explain. (b) Determine the reduced row echelon form of A.
Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter2: Systems Of Linear Equations
Section2.3: Spanning Sets And Linear Independence
Problem 42EQ
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Let A be a 6 × 5 matrix with linearly independent
column
column vectors satisfy
a4 = a1 + 3a2 + a3, a5 = 2a1 − a3
(a) What is the dimension of N(A)? Explain.
(b) Determine the reduced row echelon form of A.
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