If 2α+13β0β2−5β=α+3β2+20−6 find the value of α + β

If $\left[\begin{array}{cc}2\mathrm{\alpha }+1& 3\mathrm{\beta }\\ 0& {\mathrm{\beta }}^{2}-5\mathrm{\beta }\end{array}\right]=\left[\begin{array}{cc}\mathrm{\alpha }+3& {\mathrm{\beta }}^{2}+2\\ 0& -6\end{array}\right]$ find the value of $\mathrm{\alpha }$ + $\mathrm{\beta }$

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Solution:

The given matrices will be equal, iff

From Eqs. (i) and (i), we get  $\mathrm{\beta }$ =2

$\mathrm{\alpha }=2,\mathrm{\beta }=2$

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