Advertisements
Advertisements
Question
For the matrix A =
Solution
Now, (A - A') =
Then, (A - A')
चूँकि (A - A') = -(A - A'),
Since (A - A') = -(A - A'), it proves that the matrix (A - A') is a skew symmetric matrix.
APPEARS IN
RELATED QUESTIONS
Matrix A =
if
if
For the matrices A and B, verify that (AB)′ = B'A' where
If A =
Show that the matrix A =
For the matrix A =
Find
Express the following matrices as the sum of a symmetric and a skew symmetric matrix:
Express the following matrices as the sum of a symmetric and a skew symmetric matrix:
Express the following matrices as the sum of a symmetric and a skew symmetric matrix:
If A and B are symmetric matrices, prove that AB − BA is a skew symmetric matrix.
If A and B are symmetric matrices of the same order, write whether AB − BA is symmetric or skew-symmetric or neither of the two.
Write a square matrix which is both symmetric as well as skew-symmetric.
For what value of x, is the matrix
If A is a square matrix, then AA is a
If A and B are symmetric matrices, then ABA is
If A = [aij] is a square matrix of even order such that aij = i2 − j2, then
If A and B are two matrices of order 3 × m and 3 × n respectively and m = n, then the order of 5A − 2B is
The matrix
Let A =
If A and B are two skew-symmetric matrices of same order, then AB is symmetric matrix if ______.
If A =
If A is a symmetric matrix, then A3 is a ______ matrix.
If A is a skew-symmetric matrix, then A2 is a ______.
If A and B are any two matrices of the same order, then (AB)′ = A′B′.
If A is skew-symmetric matrix, then A2 is a symmetric matrix.
If A and B are symmetric matrices of the same order, then ____________.
If A =
If A is any square matrix, then which of the following is skew-symmetric?
If A, B are Symmetric matrices of same order, then AB – BA is a
The value of |A|, if A =