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Let A=a0 be a matrix of order 3, where a...

Let `A=a_0` be a matrix of order 3, where `a_(i j)=x ; ifi=j ,x in R, 1 if|i-j|=1, 0;ot h e r w i s e` then when of the following Hold (s) good: for`x=2` , (a) `A` is a diagonal matrix (b) `A` is a symmetric matrix for`x=2` , (c) det `A` has the value equal to 6 (d) Let `f(x)=` , det `A ,` then the function `f(x)` has both the maxima and minima.

A

for x=2, A is a diagonal matrix

B

A is a symmetric matrix

C

for x=2, detA has the value equal to 6

D

Let f(x)=detA , then the function f(x) has both the maxima and minima

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The correct Answer is:
B, D
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