- #1

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## Homework Statement

Prove ∥A∥F =√trace(ATA), for all A ∈ R m×n

Where T= transpose

## Homework Equations

## The Attempt at a Solution

I tried and i just can prove it by using numerical method. Is there anyway to prove the equation in a correct way?

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- Thread starter iwan89
- Start date

- #1

- 27

- 0

Prove ∥A∥F =√trace(ATA), for all A ∈ R m×n

Where T= transpose

I tried and i just can prove it by using numerical method. Is there anyway to prove the equation in a correct way?

- #2

- 761

- 13

The product AT A worked out gives the sum of all entries squared.

- #3

- 27

- 0

Can you give me a head start? :( im in total lost :(

- #4

Dick

Science Advisor

Homework Helper

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Can you give me a head start? :( im in total lost :(

Write trace(AA^T) out in index notation.

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