Linear independence of vectors

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Reference no: EM13125397

Linear dependence of vectors

Linear combinations of vectors

Define :-

(a) Linear dependence of vectors

(b) Linear independence of vectors

Illustrate each of them with examples.

Determine whether the following vectors in R3(R) are linearly dependent or linearly independent.

(a) (1,2,1), (2,1,4), (4,5,6), (1,8,-3)

(b) (1,2,3), (4,1,5), (- 4,6,2)

In the vector space R3, express the vector (1,-2,5) as a linear combination of the vectors (1,1,1),(1,2,3) and (2,-1,1).

Reference no: EM13125397

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