Q1) Let S (x-3, x² + 2x, x² + 1). Is S is span (P2(x)) or not? Q2) Let T= ((2,-2,4), (3,-5,4), (0,1,1)). Show that whether T is linearly independent or not? Q3) Let N = (vv) be a basis for vector space V Show that every vector in V can be written as uniquely linear combination of vectors of V.
Q1) Let S (x-3, x² + 2x, x² + 1). Is S is span (P2(x)) or not? Q2) Let T= ((2,-2,4), (3,-5,4), (0,1,1)). Show that whether T is linearly independent or not? Q3) Let N = (vv) be a basis for vector space V Show that every vector in V can be written as uniquely linear combination of vectors of V.
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 22EQ
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