Question: 2. A linearly independent set { V1, ... , Vx } in R can be extended to a basis for R . One way to

2. A linearly independent set { V1, ... , Vx } in R" can be extended to a basis for R" . One way to do this is to create A = [V1 ... V e1 ... en], with e1, ..., en the columns of the identity matrix. The columns containing the leading 1's in the RREF of A correspond to the columns of A needed to create a basis for " . Use this method to extend the following vectors to a basis for RS : -7 4 V1= 8 V2 = V3 = 6

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