- #1

- 362

- 0

## Homework Statement

A= (1-n -n

n 1+n)

this is 2x2 matrix, sorry but i don't know which latex to use.

Show that A

_{n}A

_{m}= A

_{n+m}

## Homework Equations

n/a

## The Attempt at a Solution

how do you proof by induction when there's 2 variable?

You are using an out of date browser. It may not display this or other websites correctly.

You should upgrade or use an alternative browser.

You should upgrade or use an alternative browser.

- #1

- 362

- 0

A= (1-n -n

n 1+n)

this is 2x2 matrix, sorry but i don't know which latex to use.

Show that A

n/a

how do you proof by induction when there's 2 variable?

Physics news on Phys.org

- #2

- 362

- 0

1-n , -n

n , 1+n

n , 1+n

- #3

- 2,122

- 386

annoymage said:Show that A_{n}A_{m}= A_{n+m}

## Homework Equations

n/a

## The Attempt at a Solution

how do you proof by induction when there's 2 variable?

You do induction on one of the variables and leave the other with universal

quantifier

You take as base case: For all n [itex] A_n A_0 = A_{0+n} [/itex]

and the induction hypthesis: For all n [itex] A_n A_m = A_{m+n} [/itex]

and try to prove For all n [itex] A_n A_{m+1} = A_{m+1+n} [/itex]

- #4

- 362

- 0

oooo, i see i see,

thank you very much. :)

thank you very much. :)

- #5

- 2,122

- 386

It's actually easier to just compute the product of A_m and A_n

- #6

- 362

- 0

yeaaa, it is, why didn't i think of that. =.=

hoho thanks again

hoho thanks again

Share:

- Replies
- 12

- Views
- 964

- Replies
- 14

- Views
- 805

- Replies
- 13

- Views
- 943

- Replies
- 3

- Views
- 809

- Replies
- 32

- Views
- 1K

- Replies
- 1

- Views
- 576

- Replies
- 5

- Views
- 745

- Replies
- 5

- Views
- 695

- Replies
- 9

- Views
- 2K

- Replies
- 4

- Views
- 1K