DaTorrents Forums - View Single Post

06-07-2006, 06:14 AM

1)Matrix question

Code:

   If |a b| *|x| = k *|x|
      |c d|   |y|        |y|
, prove that k satisfies the equation k^2 - (a+d)k+(ad-bc)=0. If the root of this quadratic equation are A and B, find the calue of A + B and AB in terms of a, b, c and d. Hence, or otherwise, prove that 
  |a b| * |  b     b   | = | b      b  | * |A 0|
  |c d|    |A-a  B-a  |   |A-a   B-a|    |0 B|

Sorry for the uglyness of the thing, if you know how to change, would you mind teaching me to do so.

06-07-2006, 06:14 AM	#1 (permalink)
ReiAyanami580 Posts: n/a Points: 0 Bank: 0 Total Points: 0 Donate	Maths Problem 1)Matrix question Code: If \|a b\| \|x\| = k \|x\| \|c d\| \|y\| \|y\| , prove that k satisfies the equation k^2 - (a+d)k+(ad-bc)=0. If the root of this quadratic equation are A and B, find the calue of A + B and AB in terms of a, b, c and d. Hence, or otherwise, prove that \|a b\| * \| b b \| = \| b b \| * \|A 0\| \|c d\| \|A-a B-a \| \|A-a B-a\| \|0 B\| Sorry for the uglyness of the thing, if you know how to change, would you mind teaching me to do so. Last edited by ReiAyanami580 : 06-07-2006 at 06:50 AM.