|[x-1,2x-3,1],[x-3,2x-1,2],[x-5,2x-5,3]|=0

If |[x^(3)+1,2x,1],[0,5+x,-3],[x-1,x^(2),2]|+|[3,2,1],[-1,5,-2],[0,4,6]|= ax^(5)+bx^(4)+cx^(3)+dx^(2)+ex+f is true for all x in R, then the value of f is

The constant term in the expansion of [(3x+1,2x-1,x+2),(5x-1,3x+2,x+1),(7x-2,3x+1,4x-1)] is

Solve |(x-1,0,0),(2x,x+3,0),(5x-1,3x+1,x-2)|=0

If |[2x, x+3],[2(x+1),x+1]|= |[1,5],[3,3]| then find the value of x.

If |[2x,x+3],[ 2(x+1),x+1]|=|[1, 5],[ 3 ,5]| , then write the value of xdot

The equation |{:((1+x)^(2),(1-x)^(2),-(2+x^(2))),(2x+1,3x,1-5x),(x+1,2x,2-3x):}|+|{:((1+x)^(2),2x+1,x+1),((1-x)^(2),3x,2x),(1-2x,3x-2,2x-3):}|=0

If A=[(x-1,0,2,5),(3,x^(2)-2,4,1),(-1,-2,x-3,1),(2,0,4,x^(2)-6)] and if Tr (A) = 0, then x is equal to

Solve for x : |(x+1,3,5),(2,x+2,5),(2,3,x+4)|=0