3.5.1 Symmetric matrix: A square matrix A = [aij] is said to be symmetric if its (i, j)th element is the same as its (j, i)th element.
i.e. A = AT
A = AT
Therefore, A is symmetric matrix.
3.5.2 Skew symmetric matrix: A square matrix A = [aij] is said to be skew-symmetric if the (i, j)th element of A is the negative of the (j, i)th element of A
i.e. A T = -A
Therefore, AT = -A
Properties of Symmetric and skew-symmetric matrix
That is any square matrix can be expressed as the sum of a symmetric matrix and a skew-symmetric matrix.v) A matrix which is both symmetric and skew symmetric is a zero matrix.
Geometry Help | Calculus Help | Math Tutors | Algebra Tutor | Tutorial Algebra | Algebra Learn | Math Tutorial | Algebra Tutoring | Calculus Tutor | Precalculus Help | Geometry Tutor | Maths Tutor | Geometry Homework Help | Homework Tutor | Mathematics Tutor | Calculus Tutoring | Online Algebra Tutor | Geometry Tutoring | Online Algebra Tutoring | Algebra Tutors | Math Homework Helper | Calculus Homework Help | Online Tutoring | Calculus Tutors | Homework Tutoring