![A=\left[\begin{array}{cc}3&-5\\-1&2\end{array}\right] ,\\\\ X=\left[\begin{array}{c}x&y\end{array}\right],\\\\B=\left[\begin{array}{c}2&0\end{array}\right]](/tpl/images/0151/5959/6c241.png)
![Adj.A=\left[\begin{array}{cc}2&1\\5&3\end{array}\right] ,\\\\ |A|=6-5\\\\|A|=1\\\\\left[\begin{array}{c}x&y\end{array}\right]=\left[\begin{array}{cc}2&5\\1&3\end{array}\right] \times \left[\begin{array}{c}2&0\end{array}\right]\\\\x=4, y=2](/tpl/images/0151/5959/adffa.png)
![A=\left[\begin{array}{ccc}1&1&-1\\1&0&1\\2&1&1\end{array}\right]\\\\ X=\left[\begin{array}{ccc}x\\y\\z\end{array}\right]\\\\B= \left[\begin{array}{ccc}2\\7\\13\end{array}\right]\\\\\rightarrow X=A^{-1}B\\\\\rightarrow X=\frac{Adj.A}{|A|}\times B\\\\a_{11}=-1,a_{12}=1,a_{13}=1,a_{21}=-2,a_{22}=3,a_{23}=1,a_{31}=1,a_{32}=-2,a_{33}=-1\\\\|A|=1\times(0-1)-1\times(1-2)-1\times(1-0)\\\\=-1+1-1\\\\|A|=-1\\\\Adj.A=\left[\begin{array}{ccc}-1&-2&1\\1&3&-2\\1&1&-1\end{array}\right]](/tpl/images/0151/5959/52fe0.png)
![\frac{Adj.A}{|A|}=\left[\begin{array}{ccc}1&2&-1\\-1&-3&2\\-1&-1&1\end{array}\right]\\\\X=A^{-1}B\\\\\left[\begin{array}{ccc}x\\y\\z\end{array}\right]=\left[\begin{array}{ccc}1&2&-1\\-1&-3&2\\-1&-1&1\end{array}\right]\times\left[\begin{array}{ccc}2\\7\\13\end{array}\right]\\\\x=3,y=3,z=4](/tpl/images/0151/5959/7eb0c.png)
1. 3x – 5y = 2 –x + 2y = 0
Mathematics, 30.07.2019 19:20 rachael382
Express the system as ax = b; then solve using matrix inverses
1. 3x – 5y = 2 –x + 2y = 0
2. x + y – z = 2 x + z = 7 2x + y + z = 13
Answers: 3
Another question on Mathematics
Mathematics, 21.06.2019 19:30
Which of the points a(6, 2), b(0, 0), c(3, 2), d(−12, 8), e(−12, −8) belong to the graph of direct variation y= 2/3 x?
Answers: 2
Mathematics, 21.06.2019 20:30
The frequency table shows the results of a survey comparing the number of beach towels sold for full price and at a discount during each of the three summer months. the store owner converts the frequency table to a conditional relative frequency table by row. which value should he use for x? round to the nearest hundredth. 0.89 0.90 0.92 0.96
Answers: 2
Mathematics, 21.06.2019 22:30
Micheal is 4 times as old as brandon and is also 27 years older than brandon. how old is micheal
Answers: 2
Mathematics, 22.06.2019 00:00
If 7x=9y, y/z = 7/5 , then x/z = (a) 2/7 (b) 7/9 (c) 9/5 (d) 9/7 (e) 5/9
Answers: 1
You know the right answer?
Express the system as ax = b; then solve using matrix inverses
1. 3x – 5y = 2 –x + 2y = 0
1. 3x – 5y = 2 –x + 2y = 0
Questions
History, 22.07.2019 15:00
Biology, 22.07.2019 15:00
Biology, 22.07.2019 15:00
History, 22.07.2019 15:00
Chemistry, 22.07.2019 15:00
Biology, 22.07.2019 15:00
Spanish, 22.07.2019 15:00
Mathematics, 22.07.2019 15:00
History, 22.07.2019 15:00
History, 22.07.2019 15:00
