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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.

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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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.
Transcribed Image Text: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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