The lower triangular matrix of matrix `[(3,-1,2),(4,-1,2),(5,2,1)]` is

the upper triangular matrix of the matrix [{:(1,-1,2), (2," 1",3),(3, " 2",4):}] is

the upper triangular matrix of the matrix [{:(1,-1,2), (2," 1",3),(3, " 2",4):}] is

The upper triangular matrix of the matrix [[1,-1,2],[2,1,3],[3,2,4]]

The matrix [(3,2),(5,1)] is

(i) Show that the matrix A=[(1,-1,5),(-1,2,1),(5,1,3)] is a symmetric matrix. Show that the matrix A=[(0,1,-1),(-1,0,1),(1,-1,0)] is a skew symmetric matrix

Show that the matrix [{:(3,1,4),(2,0,-1),(5,2,1):}] is non-singular and reduce it to the identiy matrix by elementary row transformations.

Express the matrices as the sum of a symmetric matrix and a skew -symmetric matrix: [(3,3,-1),(-2,-2,1),(-4,-5,2)] .

Express the following matrix as a sum of a symmetric and skew-symmetric matrix [(3,3,-1),(-2,-2, 1),(-4,-5,2)]