Algebra Archive: Questions from March 09, 2023
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4. Let \[ A=\left[\begin{array}{ccc} 3 & -1 & 0 \\ 2 & 2 & 3 \end{array}\right] \] \[ B=\left[\begin{array}{ccc} 1 & 0 & 1 \\ -2 & 5 & 1 \end{array}\right] \] \[ C=\left[\begin{array}{ll} 2 & -1 \\ 12 answers -
Eva trotó tres cuartas partes del camino a su casa desde la iglesia. Luego ella se cansó por lo que camino los restantes \( 4800 \mathrm{~m} \). [15pts] a. ¿Cuantos metros viajo Eva desde la iglesi2 answers -
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5) \( f(x)=x-3 ; g(x)=3 x^{2} \) Find \( f-g \). A) \( (f-g)(x)=3 x^{2}-x+3 \); all real numbers B) \( (f-g)(x)=-3 x^{2}+x-3 \); all real numbers C) \( (f-g)(x)=-3 x^{2}+x-3 ;\{x \mid x \neq 3\} \) D)2 answers -
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Find the equations of the asymptotes of the hyperbola \( \frac{x^{2}}{25}-\frac{y}{16}=1 \) (A) \( y=\frac{4}{5} x \) and \( y=-\frac{4}{5} x \) (B) \( y=\frac{5}{4} x-1 \) and \( y=-\frac{5}{4} x-1 \2 answers -
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Let \( \mathbf{x}, \mathbf{y}, \mathbf{z} \) be vectors in \( \mathbb{R}^{3} \) for which \[ x \cdot(y \times z)=-3 \] Then \[ \begin{array}{l} \mathrm{x} \cdot(\mathrm{z} \times \mathrm{y})= \\ \math2 answers -
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Let \( x, y, z \) be (non-zero) vectors and suppose \( w=9 x+12 y-4 z \). If \( z=3 x+4 y \), then \( w=-x+-y \) Using the calculation above, mark the statements below that must be true. - A. \( \oper2 answers -
Let \( \mathbf{x}, \mathbf{y}, \mathbf{z} \) be vectors in \( \mathbb{R}^{3} \) for which \[ \mathbf{x} \bullet(\mathbf{y} \times \mathbf{z})=-136 \] Then \[ \begin{array}{l} \mathbf{x} \bullet(\mathb2 answers -
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Find the maximum value of \( f(x, y)=x+y-(x-y)^{2} \) on the triangular region \( x \geq 0, y \geq 0, x+y \leq 1 \). Maximum value \( = \)2 answers -
Let \( \mathbf{x}, \mathbf{y}, \mathbf{z} \) be vectors in \( \mathbb{R}^{3} \) for which \[ \mathbf{x} \bullet(\mathbf{y} \times \mathbf{z})=7 \] Then \[ \begin{array}{l} \mathbf{x} \bullet(\mathbf{z2 answers -
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