1. Ubahlah matriks \( \mathrm{A}=\left[\begin{array}{cccc}1 & 4 & -2 & 5 \\ 3 & 1 & 1 & -4 \\ 0 & -2 & 4 & 6 \\ 3 & 2 & -3 & 2\end{array}\right] \) ke dalam matriks ekselon baris tereduksi? 2. Tunjukkan bahwa A adalah matrik ekselon tereduksi, \( \mathrm{A}=\left[\begin{array}{ccc}-1 & 3 & 5 \\ 1 & -3 & -5 \\ -1 & 3 & 5\end{array}\right] \) 3. Diketahui \( \mathrm{A}=\left[\begin{array}{cccc}3 & 1 & 2 & 1 \\ 4 & 1 & 0 & 2 \\ 1 & 3 & 0 & 1\end{array}\right] \), matrik B dihasilkan dari sederetan transformasi elementer \( \mathrm{H}_{31}{ }^{(-1)}, \mathrm{H}_{2}{ }^{(2)}, \mathrm{H}_{12}, \mathrm{~K}_{41}{ }^{(1)}, \mathrm{K}_{3}^{(2)} \) terhadap A . 4. Diketahui matriks \( \mathrm{A}=\left[\begin{array}{cccc}2 & -4 & 7 & 1 \\ 3 & 2 & 6 & 5 \\ -3 & 4 & 5 & 0\end{array}\right] \) selesaikanlah matriks berikut ke dalam matriks elementer? 5. Berapakah Rank dari matriks \( \mathrm{A}=\left[\begin{array}{ccc}2 & -1 \\ 1 & 1 & 6 \\ -1\end{array}\right] \)

\( - f ( x ) = 4 x ^ { 2 } + 5 x - 2 \)

136. Даны натуральное число \( n \), действительные числа \( a_{1}, \ldots, a_{n} \) Вычислить: \( \begin{array}{ll}\text { а) } a_{1}+\ldots+a_{n} ; & \text { б) } a_{1} a_{2} \ldots a_{n} ; \\ \text { в) }\left|a_{1}\right|+\ldots+\left|a_{n}\right| ; & \text { г) }\left|a_{1}\right| \cdot\left|a_{2}\right| \cdot \ldots \cdot\left|a_{n}\right| ; \\ \text { д) } a_{1}^{2}+\ldots+a_{n}^{2} ; & \text { е) } a_{1}+\ldots+a_{n} \text { и } a_{1} a_{2} \ldots a_{n} ; \\ \text { ж) } a_{1}-a_{2}+a_{3}-\ldots+(-1)^{n+1} a_{n} ; \\ \text { з) }-\frac{a_{1}}{1!}+\frac{a_{2}}{2!}-\ldots+\frac{(-1)^{n} a_{n}}{n!} ; \\ \text { и) } \frac{a_{1}}{0!}+\frac{a_{2}}{1!}+\ldots+\frac{a_{n}}{(n-1)} ; \\ \text { к) } 2\left(a_{1}+\ldots+a_{n}\right)^{2} ; \quad \text { л) } \sqrt{\left|a_{1} a_{2} \ldots a_{n}\right|} ; \\ \text { м) } \sin \left|a_{1}+\ldots+a_{n}\right| ; \\ \text { н) }\left(\sqrt{\left|a_{1}\right|}-a_{1}\right)^{2}+\ldots+\left(\sqrt{\left|a_{n}\right|}-a_{n}\right)^{2} ; \\ \text { о) } \sqrt{10+a_{1}^{2}}+\ldots+\sqrt{10+a_{n}^{2}}\end{array} \)

Which second degree polynomial function has a leading coefficient of 2 and roots -3 and 5 ?

Which statement describes the beginning of both the steel and oil industries in the United States? The railroads were entirely responsible for the development and growth of both industries. Steel and oil both developed as unplanned successes that grew in response to new technology. Strong men built important new industries by controlling resources and production. Withornment subsidies, neither the steel nor the oil industry would have been established

La derivada de la función \( f(x)=2 x^{3}-9 x^{2}+12 x-3 \)