Algebra Archive: Questions from December 03, 2022
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Determine whether the function is a linear transformation. a. \( T: \mathbb{R}^{2} \longrightarrow \mathbb{R}^{2}, \quad T(x, y)=(x+y, 1) \) b. \( T: \mathbb{R}^{2} \longrightarrow \mathbb{R}^{2}, \qu2 answers -
Question \# 5 Compute each of the following integrals and provide an argument for its existence. i) \( \int_{D}\left(\frac{1}{x}+\frac{1}{y}\right) \mathrm{d}(x, y) \), wherein \( D=[1, \mathrm{e}]^{20 answers -
8. Given the graph, find the equation of the circle. (A) \( (x-2)^{2}+(y+3)^{2}=9 \) (B) \( (x-2)^{2}+(y+3)^{2}=3 \) (C) \( (x+2)^{2}+(y-3)^{2}=3 \) (D) \( (x+2)^{2}+(y-3)^{2}=9 \)2 answers -
Resuelva: (20 puntos c/u) 1. Demuestre que la matriz \( A=\left[\begin{array}{rrr}2 & 4 & 6 \\ 4 & 5 & 6 \\ 3 & 1 & -2\end{array}\right] \) es invertible y escribala como un producto de matrices eleme0 answers