Determine whether the following vectors are linearly independent in R2: (a) 2 1 , 3 2

Chapter 3, Problem 1

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QUESTION:

Determine whether the following vectors are linearly independent in R2: (a) 2 1 , 3 2 (b) 2 3 , 4 6 (c) 2 1 , 1 3 , 2 4 (d) 1 2 , 1 2 , 2 4 (e) 1 2 , 1 1

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QUESTION:

Determine whether the following vectors are linearly independent in R2: (a) 2 1 , 3 2 (b) 2 3 , 4 6 (c) 2 1 , 1 3 , 2 4 (d) 1 2 , 1 2 , 2 4 (e) 1 2 , 1 1

ANSWER:

Step 1 of 8

(a)

Consider the vectors  and .

Take constants  such that

                                                                          

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