Algebra Archive: Questions from June 05, 2023
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Is \( \mathbf{y} \in \operatorname{span}(S) \) where \[ \mathbf{y}=\left(\begin{array}{l} 1 \\ 1 \\ 1 \end{array}\right), \quad \text { and } \quad S=\left\{\left(\begin{array}{c} 4 \\ 2 \\ -3 \end{ar0 answers -
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Solve the system using Cramer's Rule. \[ \begin{aligned} -8 x-16 y-9 z & =-4 \\ 8 x+21 y+18 z & =3 \\ 6 x+12 y+6 z & =-4 \end{aligned} \]2 answers -
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Which function below describes this graph? Select one: a. \( y=\frac{-3 x^{2}-5}{x^{2}+5} \) b. \( y=\frac{2 x^{2}-5}{x^{2}-25} \) c. \( y=\frac{-3 x^{2}-5}{x^{2}} \) d. \( y=\frac{-3 x^{2}-5}{x^{2}-22 answers -
Let S be a vector subspace of R4 spanned by the 3 vectors v⃗ Let v⃗ be the vector v⃗ Then, if the orthogonal projection of v⃗ onto S is the vector ProjSv⃗ the value of w is: Note: the set {v
Sea \( S \) subespacio vectorial de \( \mathbb{R}^{4} \) generado por los 3 vectores \[ \vec{v}_{1}=\left(\begin{array}{l} 1 \\ 2 \\ 0 \\ 2 \end{array}\right), \vec{v}_{2}=\left(\begin{array}{c} -1 \\0 answers -
Which of the following functions do have a saddle point?
\( \begin{array}{l}f(x, y)=\cos x+\cos y \\ f(x, y)=e^{4 y-x^{2}-y^{2}} \\ f(x, y)=\frac{x}{1+x^{2}+y^{2}} \\ f(x, y)=x \sin y \\ f(x, y)=x^{4}+y^{4}-4 x y\end{array} \)2 answers