Symmetric and Skew-symmetric Matrices

IMPORTANT

Symmetric and Skew-symmetric Matrices: Overview

This Topic covers sub-topics such as Symmetric and Skew-symmetric Matrices, Skew-Symmetric Matrix, Symmetric Matrix, Properties of Symmetric Matrices and, Properties of Skew-Symmetric Matrices

Important Questions on Symmetric and Skew-symmetric Matrices

MEDIUM
IMPORTANT

A=2035, express as P+Q, where P is symmetric and Q is skew symmetric.

EASY
IMPORTANT

The matrix A=685423971 is the sum of symmetric matrix B and skew symmetric matrix C. Find C.

 

EASY
IMPORTANT

A square matrix is a skew-symmetric matrix if 

EASY
IMPORTANT

If A=0x+22x-30 is skew-symmetric matrix then the value of x is

EASY
IMPORTANT

If A=aii is a skew-symmetric matrix of order n then aii=

EASY
IMPORTANT

If A=aii is a skew symmetric matrix of order n then aii=

MEDIUM
IMPORTANT

A=3a-125cb82 is symmetric and B=d3ab-ae-2b-c-26-f is skew-symmetric, then find AB. 

EASY
IMPORTANT

If A=αaβbγc, then AAT is

MEDIUM
IMPORTANT

If A and B are symmetric matrices of the same order, then show that AB is symmetric if and only if A and B commute, that is AB=BA.

EASY
IMPORTANT

If A=-2-11-1741-x-3 is a symmetric matrix then find the value of x.

MEDIUM
IMPORTANT

If the matrix A is both symmetric and skew symmetric, then

HARD
IMPORTANT

If A=211-102013 then prove that AAT and ATA are symmetric matrix.

EASY
IMPORTANT

If A=211-102013 then prove that A-AT is a skew-symmetric matrix.

EASY
IMPORTANT

If A=211-102013 then prove that A+AT is symmetric matrix.

HARD
IMPORTANT

Express the matrix A as the sum of symmetric and skew-symmetric matrix where A=6254

EASY
IMPORTANT

If the matrix 0a32b-1c10 is a skew symmetric matrix, then find the values of a+b+c

EASY
IMPORTANT

If A and B are two skew symmetric matrices of same order, then AB is symmetric matrix if _____

EASY
IMPORTANT

Show that a matrix which is both symmetric and skew symmetric is a zero matrix.

MEDIUM
IMPORTANT

The symmetric part of the matrix 12643-4865 is

MEDIUM
IMPORTANT

Which function of money eliminates the need for a double coincidence of wants?