find the value - `|[2,3,4],[5,6,1],[1,2,3]|`

Find the value of x if |[2, 1 ,x+1],[-1,3,-4],[0,-5,3]|=0

Find the value of x such that [1,x,1][[1,2,3],[4,5,6],[3,2,5]][[1],[-2],[3]]=O

Find the rank of the matrix [[1,2,3,0],[2,4,3,2],[3,2,1,3],[6,8,7,5]]

(x) find the value of the determinant |[1,2,5],[2,4,6],[3,6,7]|

Evaluate : [[1,3,5]][[1,0,3],[2,0,1],[0,1,2]][[1],[4],[6]]

If the mean of the following distribution is 6, find the value of p {:(x:, 2, 4, 6, 10, p+5), (f:, 3, 2, 3, 1, 2):}

Find the rank of the matrix [[1,2,-1,3],[2,4,1,-2],[3,6,3,-7]]

if |{:(3,1,-4),(3,2,5),(1,-1,3):}|=49 , then evaluate |{:(6,3,-8/3),(6,6,10/3),(2,-3,2):}| .

Find the values of x, if (i) |{:(2,4),(5,1):}|=|{:(2x,4),(6,x):}| (ii) |{:(2,3),(4,5):}|=|{:(x,3),(2x,5):}|

Find the rank of the matrix A = [[2,4,3,-2],[-3,-2,-1,4],[6,-1,7,2]]