EASY
12th West Bengal Board
IMPORTANT
Earn 100

If and are two square matrices such that and ; then show that and both are idempotent.

Important Questions on Elementary Theory of Matrices
MEDIUM
12th West Bengal Board
IMPORTANT
Show that is idempotent.

HARD
12th West Bengal Board
IMPORTANT
Express each of the following matrices as the sum of a symmetric matrix and a skew-symmetric matrix

HARD
12th West Bengal Board
IMPORTANT
Express each of the following matrices as the sum of a symmetric matrix and a skew-symmetric matrix

HARD
12th West Bengal Board
IMPORTANT
Express each of the following matrices as the sum of a symmetric matrix and a skew-symmetric matrix

MEDIUM
12th West Bengal Board
IMPORTANT
Express the following matrix as the sum of a symmetric and a skew-symmetric matrix

MEDIUM
12th West Bengal Board
IMPORTANT
If , then show that .

MEDIUM
12th West Bengal Board
IMPORTANT
If and be a positive integer, then prove that .

MEDIUM
12th West Bengal Board
IMPORTANT
Show that for any integer . Hence obtain the value of , where .
