Problem 6. Consider the vectors V1 2 2 -3 5 V2 2 -2 2 Let SCR...

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Problem 6. Consider the vectors V1 2 2 -3 5 V2 2 -2 2 Let SCR be defined by V3 Wi S = span(v₁, U2, U3, U4, 5). A. Find a basis for S. What is the dimension of S? B. Consider the vectors 5 -10 12 -16 9 V4 W2 5 2 -8 9 V5 -5 5 Determine if each of these vectors is in S. If the vector is in S, write it as a linear combination of the basis vectors for S you found in the first part. Problem 6. Consider the vectors V1 2 2 -3 5 V2 2 -2 2 Let SCR be defined by V3 Wi S = span(v₁, U2, U3, U4, 5). A. Find a basis for S. What is the dimension of S? B. Consider the vectors 5 -10 12 -16 9 V4 W2 5 2 -8 9 V5 -5 5 Determine if each of these vectors is in S. If the vector is in S, write it as a linear combination of the basis vectors for S you found in the first part.

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Answer We need to find the RREF of the matrix A generated by adding the vectors in one ... View the full answer