If the matrix `{:[(a+b,0,0),(0,b+c,0),(0,0,c+a)]:}`, (where a,b,c are positive integers) is a scalar matrix, then the value of (a+b+c) can be

The matrix [(a,0,0),(0,b,0),(0,0,c)] is

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

The matrix A=[{:(0,0,2),(0,2,0),(2,0,0):}] is: a) scalar matrix b) diagonal matrix c) square matrix d) none of these

Let A = [{:(0, 2b , c),(a, b, -c),(a, -b, c):}] be an orthogonal matrix, then the values of a, b, c, are related with

The matrix A=[{:(1,0,0),(0,2,0),(0,0,3):}] is: a) scalar matrix b) symmetric matrix c) skew symmetric matrix d) none f these

If matrix [{:(0,a,3),(2,b,-1),(c,1,0):}] is a skew -symmetric matrix , then find the values of a , b and c .

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

If A=[{:(0,a,1),(-1,b,1),(-1,c,0):}] is a skew-symmetric matrix, then the value of (a+b+c)^(2) is

[quad A=[[a,0,1],[0,b,2],[-1,0,c]]" ,where "a,b,c" are "],[" Let "],[" positive integers.If "tr(A)=7" then "],[" greatest value of "|A|],[" (Note "tr(A)" denotes trace of matrix) "]