Berechne die Produkte ´D xx E´ und ´E xx D´ der Matrizen:

´D = ((1,5,3,-4), (1,3,2,2), (4,5,-3,2), (4,2,7,1))´

´E = ((2,3,5,1), (-2,1,4,2), (3,4,3,3), (-1,3,0,1))´

Approach

´D xx E = ((1,5,3,-4),(1,3,2,2),(4,5,-3,2),(4,2,7,1)) * ((2,3,5,1),(-2,1,4,2),(3,4,3,3),(-1,3,0,1)) ´

´= ((2-10+9+4,3+5+12-12,5+20+9-0,1+10+0-4), (2-6+6-2,3+3+8+6,5+12+6+0,1+6+6+2), (8-10-9-2,12+5-12+6,20-20-9,4+10-9+2),(8-4+21-1,12+2+28+3,20+8+21,4+4+21+1)) ´

´= ((5,8,34,16),(0,20,23,15),(-13,11,31,7),(24,45,49,30))´

´E xx D = ((2,3,5,1),(-2,1,4,2),(3,4,3,3),(-1,3,0,1)) * ((1,5,3,-4),(1,3,2,2),(4,5,-3,2),(4,2,7,1))´

´= ((2+3+20+4,10+9+25+2,6+6-15+7,-8+6+10+1), (-2+1+16+8,-10+3+20+4,-6+2-12+14,8+2+8+2), (3+4+12+12,15+12+15+6,9+8-9+21,-12+8+6+3), (-1+3-0+4,-5+9+10+2,-3+6+0+7,4+5+0+1)) ´

´= ((29,46,4,9),(23,17,-2,20),(31,48,29,5),(6,6,10,11))´


Solution

  • ´((29,46,4,9),(23,17,-2,20),(31,48,29,5),(6,6,10,11))´

  • URL:
  • Language:
  • Subjects: math computer graphics
  • Type: Calculate
  • Duration: 10min
  • Credits: 2
  • Difficulty: 0.3
  • Tags: matrix product
  • Note:
    HPI, 2014-05-19, Computergrafik 1, Aufgabe 8b
  • Created By: adius
  • Created At:
    2014-07-28 19:49:04 UTC
  • Last Modified:
    2014-07-28 19:49:04 UTC