Express the vector ( vec{v}=left[egin{array}{c}-16 \ -2end{array} ight] ) as a linear combination of ( vec{x}=left[egin{array}{l}-2 \ -3end{array} ight] ) and ( vec{y}=left[egin{array}{c}3 \ -1end{array} ight] ). [ vec{v}=square vec{x}+square vec{y} ]
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Step 2: Substitute the given vectors into the equation from Step 1: \[ \left[\begin{array}{c}-16 \\ -2\end{array}\right] = a\left[\begin{array}{l}-2 \\ -3\end{array}\right] + b\left[\begin{array}{c}3 \\ -1\end{array}\right] \] Step 3: Distribute the scalars Show more…
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