Show that every square matrix `A` can be uniquely expressed as `P+i Q` ,where `P` and `Q` are Hermitian matrices.

Prove that every square matrix can be uniquely expressed as the sum of a symmetric matrix and a skew-symmetric matrix.

Prove that every square matrix can be uniquely expressed as the sum of a symmetric matrix and a skew-symmetric matrix.

Show that 1. 272727=1. bar27 can be expressed in the form p/q , where p\ a n d\ q are integers and q!=0.

Show that 1. 272727=1. 27 can be expressed in the form p/q , where p and q are integers and q!=0.

Show that 0. 3333. . . .=0. bar3 can be expressed in the form p/q , where p and q are integers and q!=0 .

Show that 1. 272727. . .=1. bar 27 can be expressed in the form p/q , where p and q are integers and q!=0 .

Show that 0. 2353535. . .=0. 2 bar 35 can be expressed in the form p/q , where p and q are integers and q!=0 .

Show that 0. 2353535. . .=0. 2 bar 35 can be expressed in the form p/q , where p and q are integers and q!=0 .

"If p then q" is same as (where p and q are statement)

Three a's, three b's and three c's are placed randomly in 3xx3 matrix. The probability that no row or column contain two identical letters can be expressed as (p)/(q) , where p and q are coprime then (p+q) equals to :