Find a basis for the subspace of R3 spanned by S.S = {(1, 2, 6), (−1, 3, 6), (2, 3, 1)}

Question

Find a basis for the subspace of R3 spanned by S.S = {(1, 2, 6), (−1, 3, 6), (2, 3, 1)}
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Solution 1

Sure, let's find a basis for the subspace of R3 spanned by S = {(1, 2, 6), (−1, 3, 6), (2, 3, 1)}.

Step 1: Write the vectors as rows in a matrix We start by writing the vectors in S as rows in a matrix. This gives us the matrix:

1  2  6

-1 3 6 2 3 1

Step 2: Row reduce to echelon fo Knowee AI StudyGPT is a powerful AI-powered study tool designed to help you to solve study prob

Knowee AI StudyGPT is a powerful AI-powered study tool designed to help you to solve study problem.
Knowee AI StudyGPT is a powerful AI-powered study tool designed to help you to solve study problem.
Knowee AI StudyGPT is a powerful AI-powered study tool designed to help you to solve study problem.
Knowee AI StudyGPT is a powerful AI-powered study tool designed to help you to solv

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