EASY
Earn 100

Which of the following option is correct for Xm, if X is a symmetric matrix and m is any natural number.

50% studentsanswered this correctly

Important Questions on Matrices and Determinants

EASY
If A=5ab0 and A is symmetric matrix, show that a=b.
MEDIUM
If A and B are symmetric matrices of same order and X=AB+BA and Y=AB-BA, then XYT is equal to
EASY
If the matrix A=0a-320-1b10  is skew symmetric, find the values of a and b.
EASY

Let A=aij is a square matrix of order 2 where aij=i2-j2. Then A is

MEDIUM
If P and Q are symmetric matrices of the same order, then PQ-QP is
HARD
Express the following matrix as the sum of a symmetric and a skew symmetric matrix:33-1-2-21-4-52,
HARD
Let A=23a0, aR be written as P+Q where P is a symmetric matrix and Q is skew symmetric matrix. If detQ=9, then the modulus of the sum of all possible values of determinant of P is equal to:
MEDIUM
Express the matrix A=3-21406-121 as the sum of a symmetric and a skew symmetric matrices.
EASY
If A and B are square matrices of same order and B is a skew symmetric matrix, then A'BA is
EASY
Let A be a skew-symmetric matrix of odd order. Write the value of A
EASY
If the matrix 235-1=A+B, where A is symmetric and B is skew-symmetric then B is equal to
HARD
Express the matrix A=-151234709 as the sum of a symmetric and a skew-symmetric matrix.
MEDIUM
Show that A+A' is symmetric matrix, if A=2435
HARD
Express the matrix A=23-14 as a sum of a symmetric and a skew-symmetric matrix.
 
EASY
For any square matrix A, prove that AA' is a symmetric matrix.
MEDIUM
Express 251315769 as sum of symmetric and skew-symmetric matrices.
MEDIUM
Let A be a symmetric matrix of order 2 with integer entries. If the sum of the diagonal elements of A2 is 1, then the possible number of such matrices is:
EASY
Let A and B be any two 3 × 3  matrices. If A is symmetric and B is skew symmetric, then the matrix AB-BA is 
EASY
If A,B are symmetric matrices of the same order, then AB-BA is a