Mathematics, 22.07.2019 10:00 abell23000
Ineed answering these problems. im dealing with systems of linear equations using an inverse. i posted a pic on how to do it, plz show the work
Answers: 1
![\begin{cases}4x+3y=11\\-4x+6y=-2\end{cases}\\\\\\\\ \left[\begin{array}{cc}4&3\\-4&6\end{array}\right]\left[\begin{array}{c}x\\y\end{array}\right]=\left[\begin{array}{c}11\\-2\end{array}\right]\\\\\\\\A=\left[\begin{array}{cc}4&3\\-4&6\end{array}\right]\\\\\\\\A^{-1}=\dfrac{1}{4\cdot6-3\cdot(-4)}\left[\begin{array}{cc}6&-3\\4&4\end{array}\right]=\dfrac{1}{24+12}\left[\begin{array}{cc}6&-3\\4&4\end{array}\right]=](/tpl/images/0119/1876/5978b.png)
![=\dfrac{1}{36}\left[\begin{array}{cc}6&-3\\4&4\end{array}\right]=\left[\begin{array}{cc}\frac{1}{6}&-\frac{1}{12}\\\\\frac{1}{9}&\frac{1}{9}\end{array}\right]](/tpl/images/0119/1876/38880.png)
![\left[\begin{array}{c}x\\y\end{array}\right]=\left[\begin{array}{cc}\frac{1}{6}&-\frac{1}{12}\\\\\frac{1}{9}&\frac{1}{9}\end{array}\right]\left[\begin{array}{c}11\\-2\end{array}\right]=\left[\begin{array}{c}\frac{11}{6}-\frac{-2}{12}\\\\\frac{11}{9}+\frac{-2}{9}\end{array}\right]=\left[\begin{array}{c}\frac{22}{12}+\frac{2}{12}\\\\\frac{11}{9}-\frac{2}{9}\end{array}\right]= ](/tpl/images/0119/1876/734e4.png)
![=\left[\begin{array}{c}\frac{24}{12}\\\\\frac{9}{9}\end{array}\right]=\left[\begin{array}{c}2\\1\end{array}\right]](/tpl/images/0119/1876/a6bb0.png)
![\begin{cases}2x+6y=-16\\6x+6y=-24\end{cases}\\\\\\\\ \left[\begin{array}{cc}2&6\\6&6\end{array}\right]\left[\begin{array}{c}x\\y\end{array}\right]=\left[\begin{array}{c}-16\\-24\end{array}\right]\\\\\\\\A=\left[\begin{array}{cc}2&6\\6&6\end{array}\right]\\\\\\\\A^{-1}=\dfrac{1}{2\cdot6-6\cdot6}\left[\begin{array}{cc}6&-6\\-6&2\end{array}\right]=\dfrac{1}{12-36}\left[\begin{array}{cc}6&-6\\-6&2\end{array}\right]=](/tpl/images/0119/1876/a52c5.png)
![=\dfrac{1}{-24}\left[\begin{array}{cc}6&-6\\-6&2\end{array}\right]=\left[\begin{array}{cc}-\frac{1}{4}&\frac{1}{4}\\\\\frac{1}{4}&-\frac{1}{12}\end{array}\right]](/tpl/images/0119/1876/a212b.png)
![\left[\begin{array}{c}x\\y\end{array}\right]=\left[\begin{array}{cc}-\frac{1}{4}&\frac{1}{4}\\\\\frac{1}{4}&-\frac{1}{12}\end{array}\right]\left[\begin{array}{c}-16\\-24\end{array}\right]=\left[\begin{array}{c}-\frac{-16}{4}+\frac{-24}{4}\\\\\frac{-16}{4}-\frac{-24}{12}\end{array}\right]=\left[\begin{array}{c}4-6\\-4+2\end{array}\right]=\\\\\\=\left[\begin{array}{c}-2\\-2\end{array}\right]](/tpl/images/0119/1876/ba108.png)
![\begin{cases}-2x+3y=9\\2x-4y=-16\end{cases}\\\\\\\\ \left[\begin{array}{cc}-2&3\\2&-4\end{array}\right]\left[\begin{array}{c}x\\y\end{array}\right]=\left[\begin{array}{c}9\\-16\end{array}\right]\\\\\\\\A=\left[\begin{array}{cc}-2&3\\2&-4\end{array}\right]\\\\\\\\A^{-1}=\dfrac{1}{-2\cdot(-4)-3\cdot2}\left[\begin{array}{cc}-4&-3\\-2&-2\end{array}\right]=\dfrac{1}{8-6}\left[\begin{array}{cc}-4&-3\\-2&-2\end{array}\right]=](/tpl/images/0119/1876/9a489.png)
![=\dfrac{1}{2}\left[\begin{array}{cc}-4&-3\\-2&-2\end{array}\right]=\left[\begin{array}{cc}-2&-\frac{3}{2}\\\\-1&-1\end{array}\right]](/tpl/images/0119/1876/2f9b7.png)
![\left[\begin{array}{c}x\\y\end{array}\right]=\left[\begin{array}{cc}-2&-\frac{3}{2}\\\\-1&-1\end{array}\right]\left[\begin{array}{c}9\\-16\end{array}\right]=\left[\begin{array}{c}-2\cdot9-\frac{3\cdot(-16)}{2}\\\\-9-(-16)\end{array}\right]=\\\\\\=\left[\begin{array}{c}-18+24\\-9+16\end{array}\right]=\left[\begin{array}{c}6\\7\end{array}\right]](/tpl/images/0119/1876/a99e3.png)
Another question on Mathematics
Mathematics, 21.06.2019 18:00
Liz is shipping a package to her friend.the maximum weight of a medium flat-rate box is 20 pounds,including the box which weighs 6 ounces.write and solve an inequality to describe the possible weight ,w, of the contents that liz will ship to her friend if she must use a medium flat-rate box.
Answers: 2
Mathematics, 21.06.2019 22:00
Thanh and her crew are building a stage in the shape of a trapezoid for an upcoming festival. the lengths of the parallel sides of the trapezoid are 14 ft and 24 ft. the height of the trapezoid is 12 ft.what is the area of the stage? enter your answer in the box. ft²
Answers: 2
Mathematics, 22.06.2019 00:00
Define the type of sequence below. 7, 14, 28, 56, 112, a. neither arithmetic nor geometric b. arithmetic c. both arithmetic and geometric d. geometric
Answers: 1
Mathematics, 22.06.2019 02:00
Twice the sum of a number and 2 is equal to three times the difference of the number and 8. find the number.
Answers: 1
You know the right answer?
Ineed answering these problems. im dealing with systems of linear equations using an inverse. i pos...
Questions
Chemistry, 17.04.2021 04:50
Mathematics, 17.04.2021 04:50
Mathematics, 17.04.2021 04:50
Mathematics, 17.04.2021 04:50
History, 17.04.2021 04:50
Mathematics, 17.04.2021 04:50
English, 17.04.2021 04:50
Mathematics, 17.04.2021 04:50
