Algebra Archive: Questions from March 20, 2023
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(12 points) Solve \[ \begin{array}{r} x-y+z-w=2 \\ y+2 z+w=3 \\ -z+w=1 \\ -x+2 y-3 z+5 w=3 \end{array} \]2 answers -
Find \( \frac{\partial f}{\partial x} \) and \( \frac{\partial f}{\partial y} \) for the following functions. (a) \( f(x, y)=\left(x^{2}-1\right)(y+2) \) (b) \( f(x, y)=e^{x+y+1} \) (c) \( f(x, y)=e^{2 answers -
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1. (15 pts.) Hallar la ccuación del plano que pasa por \( (3.2 .-1) \) y \( (1,-1.2) \) v es paralelo a la recta \( L(t)=\langle 1,-1,0\rangle+t\langle 3,2,-2\rangle \). \[ R: 3 x+2 x-2 z=5 \] 2. (152 answers -
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Part III: Properties of Matrices Multiplication 1. If the matrices A, B and C are defined as: Find the following: (A) B(CA) (B) (B + C)A
Parte III: Propiedades de la Multiplicación de Matrices 1. Si las matrices \( A, B \) y \( C \) están definidas como: \[ A=\left[\begin{array}{lll} 1 & 5 & 1 \\ 4 & 2 & 3 \end{array}\right], B=\left2 answers -
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