If `A=[a_(ij)]_(3xx3)`where `a_(ij)=2(i-j)`. Find A and `A^T`.State whether A and `A^T`are symmentric or skew symmetric matrices?

Construct the matrix A=[a_(ij)]_(3xx3) where a_(ij)=i-j . State whether A is symmetric or skew symmetric.

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

For each of the following matrices,using its transpose,state whether it is a symmetric or a skew-symmetric or neither. [[2,5,1],[-5,4,6],[-1,-6,3]]

Classify the following matrices as a row, a column,a square, a diagonal,a scalar,a unit,an upper triangular,a lower triangular,a symmetric or a skew-symmetric matrix. [[9,sqrt2,-3]]