Mathematics, 01.02.2021 21:10, shacarabrown49
Express the inverse of the following matrix (assuming it exists) as a matrix containing expressions in terms of k.
[-25 -25 -25]^-1 [0 0 0]
[ k 0 3] = [0 0 0]
[-5 -5 -3] [0 0 0]
Answers: 2
![= \left[\begin{array}{ccc}\frac{-3}{(2k)} &\frac{1}{k}&\frac{15}{(2k)}\\\frac{-3k+15}{(10k)}&\frac{-1}{k}&\frac{-75+13k}{(10k)}\\\frac{1}{2}&0&\frac{-5}{2}\end{array}\right]](/tpl/images/1083/0326/10f07.png)
![\left[\begin{array}{ccc}-25&-25&-13\\k&0&3\\-5&-5&-3\end{array}\right]](/tpl/images/1083/0326/84b0e.png)
![\left[\begin{array}{ccc}15&-10&-75\\3k-15&10&75-13k\\-5k&0&25k\end{array}\right]](/tpl/images/1083/0326/0b283.png)
![= \frac{1}{-10k} \left[\begin{array}{ccc}15&-10&-75\\3k-15&10&75-13k\\-5k&0&25k\end{array}\right]](/tpl/images/1083/0326/4055e.png)
![= \left[\begin{array}{ccc}\frac{15}{-10k} &\frac{-10}{-10k}&\frac{-75}{-10k}\\\frac{3k-15}{-10k}&\frac{10}{-10k}&\frac{75-13k}{-10k}\\\frac{-5k}{-10k}&\frac{0}{-10k}&\frac{25k}{-10k}\end{array}\right]](/tpl/images/1083/0326/205f2.png)
![= \left[\begin{array}{ccc}\frac{-3}{2k} &\frac{1}{k}&\frac{15}{2k}\\\frac{-3k+15}{10k}&\frac{-1}{k}&\frac{-75+13k}{10k}\\\frac{1}{2}&0&\frac{-5}{2}\end{array}\right]](/tpl/images/1083/0326/98c38.png)
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Express the inverse of the following matrix (assuming it exists) as a matrix containing expressions...
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