# Here's one that I came up with

**Matt**- Novice Poster
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## Re: Here's one that I came up with

Matt wrote:Let A be the matrix

[5 6

17 2]

What is A^1000?

let me get my calculator.......and matt why did u do one with matrixes.......cuz matrixes are rly invading my life rite now

**Mira Holford**- The Cool Cube
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## Re: Here's one that I came up with

i get

- Spoiler:
- err: domain (im NOT doin it by hand so i guess someone w/ a bigger calculator gets to solve this one)

**Mira Holford**- The Cool Cube
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## Re: Here's one that I came up with

Mira Holford wrote:i get

- Spoiler:
err: domain (im NOT doin it by hand so i guess someone w/ a bigger calculator gets to solve this one)

I got

- Spoiler:
- [5^1000 6^1000

17^1000 2^1000] sorry that's the best i can do if anybody solves it plz let me know cuz I'm STUMPED!

How could matrixes be invading your life

pps. hey matt, did your brother make this one up?

**Steve**- The Cool Cube
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## Re: Here's one that I came up with

To Steve,Steve wrote:

I got

- Spoiler:
[5^1000 6^1000

17^1000 2^1000] sorry that's the best i can do if anybody solves it plz let me know cuz I'm STUMPED!

A matrix defined as:

[A B

C D]

C D]

to power of 1,000 is

**not**:

[A^1000 B^1000

C^1000 D^1000]

C^1000 D^1000]

Look at a simpler example of taking this matrix to a similar exponent of 2:

[1 1

1 1]

1 1]

According to your theory, it will remain the same matrix but it truly is by either doing it manually or via calculator:

[A^2 + BC AC+DC

AB+BD BC+D^2]

[2 2

2 2]

AB+BD BC+D^2]

**=**[2 2

2 2]

Archis R. Bhandarkar

**Archis**- Admin
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## Re: Here's one that I came up with

Dear Matt,

Another excellent addition to this forum! I would find it hard to calculate manually, but via an online calculator you would get an extremely long answer in which right now looking at, it is very difficult to type out.

You can find it for yourself by plugging the respective values at http://www.hostsrv.com/webmab/app1/MSP/quickmath/02/pageGenerate?site=quickmath&s1=matrices&s2=arithmetic&s3=basic#reply

Or you could ask me to email you the image of the answer directly to your email address.

Sincerely,

Archis

Another excellent addition to this forum! I would find it hard to calculate manually, but via an online calculator you would get an extremely long answer in which right now looking at, it is very difficult to type out.

You can find it for yourself by plugging the respective values at http://www.hostsrv.com/webmab/app1/MSP/quickmath/02/pageGenerate?site=quickmath&s1=matrices&s2=arithmetic&s3=basic#reply

Or you could ask me to email you the image of the answer directly to your email address.

Sincerely,

Archis

**Archis**- Admin
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## Re: Here's one that I came up with

Thanks archis this means

- Spoiler:
- there is no answer which can be written in one of these little boxes. Archis's website is the only way to find the answer.

**Steve**- The Cool Cube
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## Re: Here's one that I came up with

No. He taught it to me but I made it upSteve wrote:Mira Holford wrote:i get

- Spoiler:
err: domain (im NOT doin it by hand so i guess someone w/ a bigger calculator gets to solve this one)

I got

- Spoiler:
[5^1000 6^1000

17^1000 2^1000] sorry that's the best i can do if anybody solves it plz let me know cuz I'm STUMPED!

How could matrixes be invading your life

pps. hey matt, did your brother make this one up?

**Matt**- Novice Poster
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**Steve**- The Cool Cube
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## Re: Here's one that I came up with

Steve wrote:Wait... so he taught you the problem... but u made it up?

**Mira Holford**- The Cool Cube
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## Re: Here's one that I came up with

Mira Holford wrote:Steve wrote:Wait... so he taught you the problem... but u made it up?

whats with the q marks?

**Steve**- The Cool Cube
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## Re: Here's one that I came up with

Steve wrote:Mira Holford wrote:Steve wrote:Wait... so he taught you the problem... but u made it up?

whats with the q marks?

dont remember

**Mira Holford**- The Cool Cube
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