?Show that vectors i + j, i ? j, and i + j + k are linearly independent—that is, there
Chapter 2, Problem 226(choose chapter or problem)
Show that vectors i + j, i − j, and i + j + k are linearly independent—that is, there exist two nonzero real numbers \(\alpha\) and \(\beta\) such that \(\mathbf{i}+\mathbf{j}+\mathbf{k}=\alpha(\mathbf{i}+\mathbf{j})+\beta(\mathbf{i}-\mathbf{j})\).
Text Transcription:
alpha
beta
i + j + k = alpha (i+j) + beta (i-j)
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