Which of the following subsets of R2 are spanning sets? Explain your answer.(a) {(−1, 0), (0, 1)}, (b) {(−1, 1), (1, −1)}, (c) {(−1, 0), (1, 0), (−1, 1)
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Solution 1
(a) {(−1, 0), (0, 1)}: This is a spanning set. In R2, any set of two vectors that are not scalar multiples of each other can span the space. Here, the two vectors are linearly independent (not multiples of each other), so they can generate any other vector in R2 through linear combinations.
(b) {(− Knowee AI StudyGPT is a powerful AI-powered study tool designed to help you to solve study prob
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