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Question

Mathematics Question on Matrices

The only integral root of the equation 2y23 25y6 3410y \begin{vmatrix} 2-y &2&3\\\ 2 &5-y &6\\\ 3 & 4 & 10-y \end{vmatrix}=0 is

A

y = 1

B

y = 2

C

y = 3

D

none of these

Answer

y = 1

Explanation

Solution

Clearly yy = 1 satisfies it. [C3=3C1][C_3 = 3C_1].