Find a,b,c if the matrix `A=[[4,3,-5],[a,0,b],[c,7,5]]`is a symmetric matrix.

Find a,b,c if [[1,3/5,a],[b,-5,-7],[-4,c,0]] is a symmetric matrix.

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

Show that the matrix: [[a,1,b+c],[b,1,c+a],[c,1,a+b]] , is a singular matrix.

Select the correct option from the given alternatives. The matrix [[0,-5,8],[5,0,12],[-8,-12,0]] is a i] diagonal matrix ii] symmetric matrix iii] scalar matrix iv] skew symmetric matrix

The inverse of the matrix [(1,0,0),(a,1,0),(b,c,1)] is

Find the inverse of the matrix [[2,1,3],[4,-1,0],[-7,2,1]] by using Adjoint of a matrix.