Consider the set S = 6 -3 -2] (813 181 in M2,2. (a) Determine if S spans M2,2. (b) Determine if S is linearly independent or linearly dependent. (c) Use the results in parts (a) and (b) to determine if S is a basis for M2,2.

Consider the set S = 6 -3 -2] (813 181 in M2,2. (a) Determine if S spans M2,2. (b) Determine if S is linearly independent or linearly dependent. (c) Use the results in parts (a) and (b) to determine if S is a basis for M2,2.

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 31EQ

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6 4 -3 -2 32
(813 181
9
-3 2
3 7
3. Consider the set S =
in M2,2.
(a) Determine if S spans M2,2.
(b) Determine if S is linearly independent or linearly dependent.
(c) Use the results in parts (a) and (b) to determine if S is a basis for M2,2.

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