1.

(a) Find the value of if \( \left|\begin{array}{ccc}1 & 2 & 9 \\ 2 & x & 0 \\ 3 & 7 & -6\end{array}\right|=0 \)

Answer»

Expanding along R1 we get,

Determinant = 0 = 1 (-6x+0) - 2 (-12+0) + 9 (14-3x) 

i,e 0 = -6x + 24 + 126 - 27x

Therefore, x= 150/33 = 4.55

Hope this helps :)



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