`[[x+2,x-1],[x-3,x+1]]=[[3,1],[-1,4]] `Find value of x

If |[1, x, x^2], [x, x^2, 1], [x^2, 1, x]|=3, then find the value of |[x^3-1, 0, x-x^4], [0, x-x^4, x^3-1], [x-x^4, x^3-1, 0]|

If [[x^2-4x,x^2],[x^2,x^3]] = [[-3,1],[-x+2,1]] (then find x)

If f(x)=|[(x-a)^4, (x-a)^3, 1] , [(x-b)^4, (x-b)^3,1] , [(x-c)^4, (x-c)^3,1]| then f'(x)=lambda|[(x-a)^4,(x-a)^2,1] , [(x-b)^4, (x-b)^2, 1] , [(x-c)^4, (x-c)^2,1]| . Find the value of lambda

If (x+1,\ 1)=(3,\ y-2) , find the value of x and y .

If |(x+1,x-1),(x-3,x+2)|=|(4,-1),(1,3)| , then write the value of x .

If |(x+1,x-1),(x-3,x+2)|=|(4,-1),(1,3)| , then write the value of x .

If (x + 1, y - 2) = (3, -1) , find the values of x and y.

If x=1-sqrt(2), find the value of (x-1/x)^3

If x = 2 - sqrt 3 , find the value of (x-1/x)^3