Find x,y,z if`[[0,5i,x],[y,0,z],[3/2,sqrt2,0]]`is a skew symmetric matrix.

If A = [[x,0,0],[0,y,0],[0,0,z]] , is a non-singular matrix then find A^-1 by elementary transformations, Hence, find the inverse of [[2,0,0],[0,1,0],[0,0,-1]]

Find the inverse of the matrix: [[1,2,3],[2,4,5],[3,5,6]] . Hence solve the equations x+2y+3z = 2 , 2x+4y+5z = 1 , 3x+5y+6z = 3 .

Classify the following matrices as a row, a column,a square, a diagonal,a scalar,a unit,an upper triangular,a lower triangular,a symmetric or a skew-symmetric matrix. [[3,-2,4],[0,0,-5],[0,0,0]]

Find x,y,z given that [[x],[y],[z]]=[[3,1,3],[2,0,2],[-5,1,-1]][[2],[4],[3]]

If A=[[x,2,3],[-1,5,3]] , B=[[1,-2,y],[1,z,-2]] and C=[[3,0,1],[0,2,1]] , also A+B-C=O then find x,y,z