`|{:(" "x+1," "-3," "4),(" "-5," "x+2," "2),(" "4," "1," "x-6):}|`

If |(1,-3,4),(-5,x+2,2),(4,1,x-6)|=0 then x equals

If [(x+1,-3,4),(-5,x+2,2),(4,1,x-6)]=0 then x=

Find x if det A = 0 where A = [(x+1,-3,4),(-5,x+2,2),(4,1,x-6)]

Without expanding, find the value of: (i) (x + 1)^4 - 4(x + 1)^3 (x - 1) + 6(x + 1)^2 (x - 1)^2 - 4(x + 1) (x - 1)^3 + (x -1)^4 (ii) (2x - 1)^4 + 4(2x - 1)^3 (3 - 2x) + 6(2x - 1)^2 (3 - 2x)^2 + 4(2x - 1) (3 - 2x)^3 + (3 - 2x)^4

If the trace of the matrix A= [{:( x-1 ,0,2,5),( 3, x^(2) - 2 ,4,1),( -1,-2,x-3,1),(2,0,4,x^(2)-6) :}] is 0 then x is equal to

If the trace of the matrix A= [{:( x-1 ,0,2,5),( 3, x^(2) - 2 ,4,1),( -1,-2,x-3,1),(2,0,4,x^(2)-6) :}] is 0 then x is equal to

Without expanding, find the value of: (2x - 1)^4 + 4(2x - 1)^3 (3 - 2x) + 6(2x - 1)^2 (3 - 2x)^2 + 4(2x - 1) (3 - 2x)^3 + (3 - 2x)^4

Find values of x , if(i) |(2, 4),( 5, 1)|-|(2x,4),( 6,x)| (ii) |(2, 3),( 4, 5)|-|(x,3),( 2x,5)|

Determine the values of x for which the matrix A= [(x+1,-3 ,4),(-5,x+2, 2) ,(4 ,1,x-6)] is singular.