If the inverse of the matriix `[(alpha,14,-1),(2,3,1),(6,2,3)]` does not exist, then the vlaue of `alpha` is

IF the inverse of the matrix [(alpha , 14,-1),(2,3,1),(6,2,3)] does not exist then the value of alpha is

IF the inverse of the matrix [(alpha , 14,-1),(2,3,1),(6,2,3)] does not exist then the value of alpha is

Using elementary row operations show that inverse of the matrix (i) [(-3,2),(6,-4)] does not exist, (ii) [(3,2,1),(0,4,5),(3,6,6)] does not exist

If the matrix A=[(1,2,3,0),(2,4,3,2),(3,2,1,3),(6,8,7,alpha)] is of rank 3, then alpha=

If alpha_(1), alpha_(2), alpha_(3), alpha_(4) are the roots of the equation x^(4)+(2-sqrt(3))x^(2)+2+sqrt(3)=0 , then the value of (1-alpha_(1))(1-alpha_(2))(1-alpha_(3))(1-alpha_(4)) is

If alpha_(1), alpha_(2), alpha_(3), alpha_(4) are the roots of the equation x^(4)+(2-sqrt(3))x^(2)+2+sqrt(3)=0 , then the value of (1-alpha_(1))(1-alpha_(2))(1-alpha_(3))(1-alpha_(4)) is :

If the inverse of the matrix A=[{:(1,2,2),(2-1,,2),(2,2,1):}]"is"(1)/(5)[{:(-3,2,2),(2,-3,alpha),(2,2-3,):}] then , alpha= _________

let |{:(1+x,x,x^(2)),(x,1+x,x^(2)),(x^(2),x,1+x):}|=(1)/(6)(x-alpha_(1))(x-alpha_(2))(x-alpha_(3))(x-alpha_(4)) be an identity in x, where alpha_(1),alpha_(2),alpha_(3),alpha_(4) are independent of x. Then find the value of alpha_(1)alpha_(2)alpha_(3)alpha_(4)

let |{:(1+x,x,x^(2)),(x,1+x,x^(2)),(x^(2),x,1+x):}|=(1)/(6)(x-alpha_(1))(x-alpha_(2))(x-alpha_(3))(x-alpha_(4)) be an identity in x, where alpha_(1),alpha_(2),alpha_(3),alpha_(4) are independent of x. Then find the value of alpha_(1)alpha_(2)alpha_(3)alpha_(4)

Let |(1+x,x,x^(2)),(x,1+x,x^(2)),(x^(2),x,1+x)|=1/6(x-alpha_(1))(x-alpha_(2))(x-alpha_(3))(x-alpha_(4)) be an indentity in x , where alpha_(1),alpha_(2),alpha_(3),alpha_(4) are independent of x . Then find the value of alpha_(1)alpha_(2)alpha_(3)alpha_(4) .