The values of x for which the matrix `[[x+a,b,c],[a,x+b,c],[a,b,x+c]]` is non-singular are (A) `R-{0}` (B) `R-{-(a+b+c)}` (C) `R-{0,-(a+b+c)}` (D) none of these

The value of x satisfying |{:(x-a,b,c),(a,x+b,c),(a,b,x+c):}|=0 is

The equation |(x-a,x-b,x-c),(x-b,x-a,x-c),(x-c,x-b,x-a)|=0 (a,b,c are different) is satisfied by (A) x=(a+b+c0 (B) x= 1/3 (a+b+c) (C) x=0 (D) none of these

"If B is a non -singular square matrix of order 3 such that |B|=1 then "det (B^-1) "is equal to (a) 1 (b) 0 (c)-1 (d) none of these"

a+b+c=0, solve for x : [[a-x,c,b],[c,b-x,a],[b,a,c-x]]=0

If a+b+c=0, solve the equation: |[a-x, c, b],[c,b-x, a],[b, a, c-x]|=0

If A and B are two non-singular matrices such that AB=C, then |B| is equal to (|C|)/(|A|) b.(|A|)/(|C|) c.|C| d.none of these

If a+b+c=0 and |[a-x,c,b],[c,b-x,a],[b,a,c-x]|=0 then x=

Let a,b,c be even natural numbers, then /_\=|(a-x, a, a+x),(b-x, b, b+x),(c-x, c, c+x)| is a multiple of (A) 2 (B) 5 (C) 3 (D) none of these

If a b c = 0, then ({(x^a)^b}^c)/({(x^b)^c}^a) = (a)3 (b) 0 (c) -1 (d) 1

The product of all values of t , for which the system of equations (a-t)x+b y+c z=0,b x+(c-t)y+a z=0,c x+a y+(b-t)z=0 has non-trivial solution, is |a-c-b-c b-a-b-a c| (b) |a b c b c a c a b| |a c bb a cc b a| (d) |a a+bb+c bb+cc+a cc+a a+b|