Mathematics, 31.08.2020 01:01, veroushkarose7326
Find c1 and c2 such that M2+c1M+c2I2=0, where I2 is the identity 2×2 matrix and 0 is the zero matrix of appropriate dimension.
Answers: 3
![\left[\begin{array}{cc}6&5\\-1&-4\end{array}\right]](/tpl/images/0735/2320/b35f2.png)
. Find 
and 
such that 
, where 
is the identity 2x2 matrix and 0 is the zero matrix of appropriate dimension.
![\left[\begin{array}{cc}1&0\\0&1\end{array}\right]](/tpl/images/0735/2320/3e408.png)
![M^{2} = \left[\begin{array}{cc}6&5\\-1&-4\end{array}\right]\left[\begin{array}{cc}6&5\\-1&-4\end{array}\right]](/tpl/images/0735/2320/93481.png)
![M^{2}=\left[\begin{array}{cc}31&10\\-2&15\end{array}\right]](/tpl/images/0735/2320/80c1d.png)
![\left[\begin{array}{cc}31&10\\-2&15\end{array}\right]+c_{1}\left[\begin{array}{cc}6&5\\-1&-4\end{array}\right] +c_{2}\left[\begin{array}{cc}1&0\\0&1\end{array}\right] =\left[\begin{array}{cc}0&0\\0&0\end{array}\right]](/tpl/images/0735/2320/cbd83.png)
![\left[\begin{array}{cc}31&10\\-2&15\end{array}\right]+\left[\begin{array}{cc}6c_{1}&5c_{1}\\-1c_{1}&-4c_{1}\end{array}\right] +\left[\begin{array}{cc}c_{2}&0\\0&c_{2}\end{array}\right] =\left[\begin{array}{cc}0&0\\0&0\end{array}\right]](/tpl/images/0735/2320/752a6.png)
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Find c1 and c2 such that M2+c1M+c2I2=0, where I2 is the identity 2×2 matrix and 0 is the zero matrix...
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