Question

Show that the vedores (2,3,-2.1). (4,2-13)(2-5,4,3
(4,10,-711 are linearly Independent in R POWER 4
and find the maximal LINEARLY Independent subbed​

Answer 1

Answer:

have the following matrix composed of 4 column vectors. I need to find the maximal linearly independent subset.

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After row reducing, I get the following matrix:

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It's my understanding that the columns with pivots would represent the linearly independent vectors. So we would have columns 1 and 2 from the original matrix as the linearly independent vectors. But if we look carefully at the original matrix, we realize that column 2 can be represented as the sum of column 1 and 3, which would make column 2 to be linearly dependent.

What am I getting wrong? The solution to this exercise points that vectors 1, 3 and 4 form the maximal linearly independent subset.