- #1

- 222

- 12

Friends!

Is there anything wrong in the statement"A null matrix is idempotent".

Is there anything wrong in the statement"A null matrix is idempotent".

- Thread starter gianeshwar
- Start date

- #1

- 222

- 12

Friends!

Is there anything wrong in the statement"A null matrix is idempotent".

Is there anything wrong in the statement"A null matrix is idempotent".

- #2

Mark44

Mentor

- 34,694

- 6,397

What do you think? How is the term "idempotent" defined?Friends!

Is there anything wrong in the statement"A null matrix is idempotent".

- #3

- 222

- 12

A square equal A. So if A is zero matrix then it satsfies this condition.

- #4

Mark44

Mentor

- 34,694

- 6,397

AnyA square equal A. So if A is zero matrix then it satsfies this condition.

$$A = \begin{bmatrix} 0 & 0 & 0 \\ 0 & 0 & 0\end{bmatrix}$$

- #5

- 222

- 12

- #6

Mark44

Mentor

- 34,694

- 6,397

I'm not sure what you're trying to say here. Writing an equation would make it clearer.

Are you saying that B = I - A, and A is idempotent? And you need to show that B

If so, that's easy to show -- just expand B

- #7

- 222

- 12

I needed to show that( B squarenot equai to I) is not always true.

- #8

Mark44

Mentor

- 34,694

- 6,397

Like I said in my previous post, this is easy to do.I needed to show that( B squarenot equai to I) is not always true.

Also, please take some time to learn how to write proper math notation. To indicate the square of something, at the very least you can write B^2. Better yet, write the exponent as a superscript, like this: B

- #9

- 222

- 12

Thank You Mark44 for the valuable help and suggestions!

- #10

Mark44

Mentor

- 34,694

- 6,397

You're welcome!Thank You Mark44 for the valuable help and suggestions!

- Last Post

- Replies
- 4

- Views
- 1K

- Replies
- 1

- Views
- 2K

- Replies
- 9

- Views
- 1K

- Last Post

- Replies
- 1

- Views
- 2K

- Last Post

- Replies
- 2

- Views
- 4K

- Last Post

- Replies
- 1

- Views
- 3K

- Last Post

- Replies
- 2

- Views
- 1K

- Last Post

- Replies
- 18

- Views
- 17K

- Last Post

- Replies
- 4

- Views
- 5K

- Last Post

- Replies
- 7

- Views
- 1K