CameraIcon

SearchIcon

MyQuestionIcon

1

You visited us 1 times! Enjoying our articles? Unlock Full Access!

Singular and Non Singualar Matrices

34. Show that...

Question

34. Show that positive odd integral powers of a skew- symmetric matrix are skew- symmetric and positive even integral power of a skew- symmetric matrix are symmetric.

Open in App

Solution

Suggest Corrections

thumbs-up

34

Similar questions

Q. Say true or false:

All positive odd integral powers of skew-symmetric matrix are symmetric.

Q. Prove that +ive off integral powers of a skew asymmetric matrix are skew symmetric but +ive even integral powers are symmetric

Q. Show that matrix

A + B

is symmetric or skew symmetric according as

A

B

are symmetric of skew symmetric.

Q. Show that the matrix

B^{'} A B

is symmetric or skew symmetric according as

A

is symmetric or skew symmetric.

Q. If A and B are square matrices of same order and B is a skew-symmetric matrix, show that

A^{'} B A

is a skew-symmetric matrix.

View More

Join BYJU'S Learning Program

similar_icon

Related Videos

lock

Adjoint and Inverse of a Matrix

MATHEMATICS

Watch in App

explore_more_icon

Explore more

Singular and Non Singualar Matrices

Standard XII Mathematics

Join BYJU'S Learning Program

CrossIcon