`|[x+1, 3, 5], [2, x+2, 5], [2, 3, x+4]|=0`

Show that x=1 is a solution of [[x+1,3,5],[2,x+2,5],[2,3,x+4]] =0

(i) Solve the equation |{:(x-2,2x-3,3x-4),(x-4,2x-9,3x-16),(x-8,2x-27,2x-64):}|=0 (ii) Prove that x = 1 is a root of the equation (ii) Prove that x=1 is a root of the following equation |{:(x+1,3,5),(2,x+2,5),(2,3,x+4):}|=0 Also find the remaining roots. (iii) If a+b+c=0 then solve |{:(a-x,c,b),(c,b-x,a),(v,a,c-x):}|=0 (iv) Solve |{:(6-x,3,3),(3,4-x,5),(3,5,4-5):}|=0

solve for x, if |[3,-5,2],[4,x+1,-1],[2,x-2,3]|=0

If the [[x, 2,32,3, x3, x, 2]] = the [[1, x, 4x, 4,14,1, x]] = the [[0,5, x5, x, 0x, 0.5]] = 0

The roots of the equations |{:(1+x,3,5),(2,2+x,5),(2,3,x+4):}| = 0 are

The roots of the equation |(1+x,3,5),(2,2+x,5),(2,3,x+4)|=0 are

Solve the following: |1xx^2 1a b^2 1b c^2|=0 , a!=b (ii) |x+1 3 5 2x+2 5 2 3x+4|=0 (iii) |1xx^3 1bb^3 1cc^3|=0 , b!=c

Let A=[(1, 2), (3,-5)] and B=[(1, 0), (0, 2)] and X be a matrix such that A=B X , then X is equal to (a) 1/2[(2, 4), (3, -5)] (b) 1/2[(-2, 4), (3, 5)] (c) [(2, 4), (3,-5)] (d) none of these

Let A=[1 2 3-5] and B=[1 0 0 2] and X be a matrix such that A=B X , then X is equal to 1/2[2 4 3-5] (b) 1/2[-2 4 3 5] (c) [2 4 3-5] (d) none of these

" If the trace of the matrix: "A=[[-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 "