In the matrix `[[1,0,5],[2,-3,4]] ` i. number of rows is……………………...

In the matrix [[1,0,5],[2,-3,4]] number of columns is……………………...

In the matrix [[1,0,5],[2,-3,4]] the number of entries is……………………...

In the matrix [[1,0,5],[2,-3,4]] order of matrix matrix is………

Express the matrix A=[[4, 2,-1], [3 ,5, 7], [1,-2 ,1]] as the sum of a symmetric and a skew-symmetric matrix.

Express the matrix A=[[2,4,-6],[ 7,3,5],[ 1,-2, 4]] as the sum of a symmetric and skew symmetric matrix.

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

Find A(a d j\ A) for the matrix A=[[1,-2 ,3],[ 0, 2,-1],[-4 ,5, 2]] .

Expess the matrix A=[{:(2,0,-4),(-3,1,5),(4,-2,3):}] as a sum of symmetic and skew symmetric matrices.

Express the matrix A=[(2,4,-6),(7,3,5),(1,-2,4)] is the sum of a symmetric and skew symmetric matrix.

For the matrix A=[(1,1,0),(1,2,1),(2,1,0)] which of the following is correct? (A) A^3+3A^2-I=0 (B) A^3-3A^2-I=0 (C) A^3+2A^2-I=0 (D) A^3-A^2+I=0