Mathematics, 19.07.2019 03:30 barb4you67
Consider the system below. 4x-2y=-12 3x-y=-3 solve the system by using a matrix equation. show your work.
Answers: 1
, where 
is inverse matrix of X.![\left[\begin{array}{cc}4&-2\\3&-1\end{array}\right] X=\left[\begin{array}{c}- 12\\- 3\end{array}\right]](/tpl/images/0106/4123/0461e.png)
;![A^{-1} = \left[\begin{array}{cc}4&-2\\3&-1\end{array}\right] ^{-1}](/tpl/images/0106/4123/f2b9c.png)
by the rule ![A^{-1}= \frac{1}{det \ A} [ A_{ij} ] ^{T}](/tpl/images/0106/4123/ad722.png)
. So, 
×
×
and algebraic supplements are 
. Then ![A^{-1} = \frac{1}{2} \left[\begin{array}{cc}-1&-3\\2&4\end{array}\right] ^{T}= \left[\begin{array}{cc}- \frac{1}{2} &1\\- \frac{3}{2} &2\end{array}\right]](/tpl/images/0106/4123/9394e.png)
;![X= \left[\begin{array}{cc}- \frac{1}{2} &1\\- \frac{3}{2} &2\end{array}\right] \left[\begin{array}{c} -12\\-3\end{array}\right]=](/tpl/images/0106/4123/4de3b.png)
![\left[\begin{array}{c}3\\12\end{array}\right]](/tpl/images/0106/4123/73528.png)
; ![X= \left[\begin{array}{c}3\\12\end{array}\right]](/tpl/images/0106/4123/2daea.png)
, from where x=3 and y=12.
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Consider the system below. 4x-2y=-12 3x-y=-3 solve the system by using a matrix equation. show your...
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