Here's one that I came up with

Matt · Matt on Fri Oct 10, 2008 5:07 am

Let A be the matrix

[5 6
17 2]

What is A^1000?

Mira Holford · Mira Holford on Sun Oct 12, 2008 4:02 am

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 · Mira Holford on Sun Oct 12, 2008 4:05 am

i get

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

Steve · Steve on Sun Oct 12, 2008 7:41 am

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 confused

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

Archis · Archis on Sun Oct 12, 2008 5:14 pm

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!

To Steve,

A matrix defined as:

[A B
C D]

to power of 1,000 is not:

[A^1000 B^1000
C^1000 D^1000]

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

[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]

Archis R. Bhandarkar

Archis · Archis on Sun Oct 12, 2008 5:38 pm

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

Steve · Steve on Sun Oct 12, 2008 11:25 pm

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.

Matt · Matt on Mon Oct 13, 2008 8:32 am

Steve 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?

No. He taught it to me but I made it up Very Happy

Steve · Steve on Mon Oct 13, 2008 7:17 pm

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

Mira Holford · Mira Holford on Mon Oct 13, 2008 11:22 pm

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

Steve · Steve on Tue Oct 14, 2008 10:35 pm

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

whats with the q marks?

Mira Holford · Mira Holford on Wed Oct 15, 2008 3:08 am

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 Very Happy

Here's one that I came up with

Here's one that I came up with

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