[SOLVED] Matrices prob

**stpmmaths** · October 18th 2009, 12:35 AM

I can find p=1 and q=-2 but I don't know how to deduce M^4 = -5M + 6I??

Thanks.

**mathaddict** · October 18th 2009, 01:05 AM

Originally Posted by stpmmaths

I can find p=1 and q=-2 but I don't know how to deduce M^4 = -5M + 6I??

Thanks.

HI

using the results you got above , assuming its correct .

$m^2=-m+2I$

$m^3=-m^2+2mI$

$=-(-m+2I)+2m$

$=3m-2I$

$m^4=3m^2-2mI$

$=3(-m+2I)-2m$

$<br /> =-5m+6I<br />$

**stpmmaths** · October 18th 2009, 01:16 AM

Sorry, I can't get it. Matrices follow distributive law??

**mr fantastic** · October 18th 2009, 02:17 AM

Originally Posted by stpmmaths

Sorry, I can't get it. Matrices follow distributive law??

You need to be much more specific. What don't you get? Which line in virtually the complete solution that's been given to you do you not understand?

**stpmmaths** · October 18th 2009, 11:11 PM

Matrices follow distributive law? Meaning a(b+c)=ab+bc.

**mr fantastic** · October 18th 2009, 11:14 PM

Originally Posted by stpmmaths

Matrices follow distributive law? Meaning a(b+c)=ab+bc.

Yes (assuming the multiplication a(b+c) is valid).

**stpmmaths** · October 27th 2009, 10:12 PM

Thanks for all the effort.

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