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

Solve for x: |[x+1,3,2],[x,1,4],[-1,5,x]|=0

Solve for x: /_\=|[2x,3,1],[4,6,x],[3x,1,1]| = 0

Solve for x: |[x^2+1,0,3x+2],[x,2,1],[4x,-1,0]|=0

Solve for x : x^5+x^3-x^2-1 =0.

What are the values of x that satisfy equation |(x,0,2),(2x,2,1),(1,1,1)|+|(3x,0,2),(x^(2),2,1),(0,1,1)| = 0 ?

Let A and B be two matrices of the same order 3xx3 such that A=[(-5,1,3),(7,1,-5),(1,-1,1)] and B=[(1,1,2),(3,2,1),(2,1,3)] x+y+2z=1, 3x+2y+z=7 and 2x+y+3z=2 be a system of equatons in x,y,z The value of AB and hence solve the system of equation (A) [(-5,1,5),(21,2,-5),(2,-1,3)] (B) [(4,0,0),(0,4,0),(0,0,4)] (C) [(0,0,1),(0,1,0),(1,0,0)] (D) [(2,-5,1),(1,3,6),(0,0,-0)]

Show that (i) [(5,-1),(6,7)][(2,1),(3,4)]!=[(2,1),(3,4)][(5,-1),(6,7)] (ii) [(1,2,3),(0,1,0),(1,1,1)][(-1,1,0),(0,-1,1),(2,3,4)]!=[(-1,1,0),(0,-1,1),(2,3,4)][(1,2,3),(0,1,0),(1,1,0)] .

show that (i) [{:(5,-1),(6,7):}][{:(2,3),(3,4):}]ne[{:(2,3),(3,4):}][{:(5,-1),(6,7):}] (ii) [{:(1,2,3),(0,1,0),(1,1,0):}][{:(-1,1,0),(0,-1,1),(2,3,4):}] ne[{:(-1,1,0),(0,-1,1),(2,3,4):}][{:(1,2,3),(0,1,0),(1,1,0):}]

Solve the equation |{:(x+2,1,-3),(1,x-3,-2),(-3,-2,1):}|=0.

If |{:(x, 2, 3),(2,3,x),(3 , x,2):}| = |{:(1, x, 4),(x,4,1),(4 , 1,x):}| = |{:(0, 5, x),(5,x,0),(x, 0,5):}| = 0, then the value x equals (x in R )