` |[2,x],[-4,3]|=0` find the value of x.

If |[x,-6,1],[2x,-3,3],[0,1,2]| =0 find the value of x

If |[x+2, 3],[x+5, 4]|=3 , find the 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]|

Solve [(1,2),(0,0)] [(x,2),(3,3)]=[(7,0),(1,0)] , and find the value of x.

If (A -2I)(A-3I)=0 , when A=[{:(4,2),(-1,x):}] and I=[{:(1,0),(0,1):}] , find the value of x

If a is a root of x^(2) - 3x-5=0 find the value of a^(4) - 2a^(3) - 7a^(2) -8a

Let a and p be the roots of equation x^2 + x - 3 = 0 . Find the value of the expression 4p^2 - a^3 .

If [[(x+3y),y],[7-x,4]]=[(4,-1),(0,1)], find the values of x and y.

(i) If 2x + 1 is a factor of 2x^2+ ax- 3, find the value of a. (ii) Find the value of k, if 3x -4 is a factor of expression 3x^2+ 2x -k.

If x=(3/2)^2x\ (2/3)^(-4),\ find the value of x^(-2)dot