AP EAMCET201823 Apr 2018Morning ShiftMathematicsMatricesActual

The values of t such that the matrix ( array ccc 1 & 3 & 2 2 & 5 & t 4 & 7-t & -6 array ) has no inverse, are

Options

A3, 2
B3, - 2
C-3, 2
D-3, -2

Correct answer

C. -3, 2

Step-by-step solution

Let A= [ array ccc 1 & 3 & 2 2 & 5 & t 4 & 7-t & -6 array ] has no inverse aligned & So, |A|=0 & 1[-30-t(7-t)]-3[-12-4 t] & +2[2(7-t)-20]=0 & -30-7 t+t^2+36+12 t+28-4 t-40=0 & t^2+t-6=0 t^2+3 t-2 t-6=0 & t(t+3)-2(t+3)=0 (t+3)(t-2)=0 & t=-3,+2 & So, values of t=-3 and 2 & aligned

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