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

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

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……………………...

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.

For what value of x is the matrix A=[(0,1,-2),(1,0,3),(x,3,0)] a skew-symmetric matrix?

For what value of x is the matrix A=[(0,1,-2),(1,0,3),(x,3,0)] a skew-symmetric matrix?

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