First row of a matrix A is `[1,3,2]`. If
adj `A=[(-2,4,alpha),(-1,2,1),(3alpha,-5,-2)]`, then a det (A) is

First row of a matrix A is [1,3,2] . If adj A=[(-2,4,alpha),(-1,2,1),(3alpha,-5,-2)] , then maximum value of det (A) is

If A=[(1,"sin"(alpha)/2),(-"sin"(alpha)/2,1] then adj A is

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=

Let A be a matrix such that adj (adj A)= [(5,2,1),(3,1,0),(2,2,1)] then the value of

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= _________

If A and B are non - singular matrices of order three such that adj(AB)=[(1,1,1),(1,alpha, 1),(1,1,alpha)] and |B^(2)adjA|=alpha^(2)+3alpha-8 , then the value of alpha is equal to

If A and B are non - singular matrices of order three such that adj(AB)=[(1,1,1),(1,alpha, 1),(1,1,alpha)] and |B^(2)adjA|=alpha^(2)+3alpha-8 , then the value of alpha is equal to

Let alpha, beta be the roots of equation x ^ 2 - x + 1 = 0 and the matrix A = (1 ) /(sqrt3 ) |{:(1,,1,,1),(1,,alpha,,alpha ^2),(1,,beta,,-beta^ 2):}| , the value of det (A. A^T) is