What is [v]_B, the coordinates of v = [3; 6] with respect to the standard basis B = {[1; 0], [0; 1]} of R^2? [v]_B = [ ]
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The basis vectors in \( \mathcal{B} \) are \( \left[\begin{array}{l} 1 \\ 0 \end{array}\right] \) and \( \left[\begin{array}{l} 0 \\ 1 \end{array}\right] \). We can express \( \mathbf{v} \) as \( 3 \times \left[\begin{array}{l} 1 \\ 0 \end{array}\right] + 6 Show more…
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