2. Let A be a 4 x 5 matrix and let U be the reduced row echelon form of A. If 2 1 2 a₁ = a2 = -3 3 2 1 0 2 0 0 1 3 0 -2 U = 0 0 0 1 5 0 0 0 0 0 (a) find a basis for N(A). (b) given that xo is a solution to Ax = b, where 3 2 5 b= 3 and Xo= 0 2 0 (i) find all solutions to the system. (ii) determine the remaining column vectors of A. C Cl .
2. Let A be a 4 x 5 matrix and let U be the reduced row echelon form of A. If 2 1 2 a₁ = a2 = -3 3 2 1 0 2 0 0 1 3 0 -2 U = 0 0 0 1 5 0 0 0 0 0 (a) find a basis for N(A). (b) given that xo is a solution to Ax = b, where 3 2 5 b= 3 and Xo= 0 2 0 (i) find all solutions to the system. (ii) determine the remaining column vectors of A. C Cl .
Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter6: Vector Spaces
Section6.2: Linear Independence, Basis, And Dimension
Problem 3AEXP
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