Tuesday, April 7, 2009

Find the product of the following matricies

Find the product of the following matricies

1.
| 1 5 | | 2 2 |
| 3 8 | . | 4 5 |

2.
| 5 9 | | 2 1 |
| 3 2 | . | 2 7 |

3.
| 4 1 | | 1 2 |
| 0 2 | . | 4 1 |

4.
| 9 7 | | 3 3 |
| 9 8 | . | 3 3 |

5.
| 4 4 | | 5 2 |
| 4 4 | . | 3 5 |

6.
| 1 0 | | 0 5 |
| 0 8 | . | 4 4 |

7.
| 2 3 | | 3 2 |
| 3 6 | . | 3 5 |

8.
| 0 5 | | 0 0 |
| 0 8 | . | 4 5 |

9.
| 2 2 | | 3 3 |
| 2 2 | . | 3 3 |

10.
| 3 6 | | 6 3 |
| 6 3 | . | 3 6 |
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63 comments:

  1. d chosen 1April 7, 2009 at 6:57 AM

    firstly in order to multiply matricies you have to identify what is a row and what is a column.

    secondly you multiply row by column.

    no.1

    [15* 22] + [15* 24]
    [38* 22] + [38* 24]

    [690]
    [1728]

    ReplyDelete
  2. d chosen 1April 7, 2009 at 7:01 AM

    [59 21]
    [32 27]

    [59*21 + 59*27]
    [32*21 + 32*27]


    [2832]
    [1536]

    ReplyDelete
  3. d chosen 1April 7, 2009 at 7:10 AM

    [41 12]
    [02 41]


    [41*12 + 41*41]
    [2* 12 + 2* 41]

    [2173]
    [106]

    ReplyDelete
  4. d chosen 1April 7, 2009 at 7:18 AM

    [97 33]
    [98 33]

    [97*33 + 97*33]
    [98*33 + 98*33]

    [6402]
    [6468]

    ReplyDelete
  5. Low riderApril 7, 2009 at 7:24 AM

    Honestly it is hard to understand in this notation, but i will try if somone else answer more.

    ReplyDelete
  6. phantomApril 7, 2009 at 8:02 AM

    to multiply matricies you multiply rows by columns then add them up to get your finished matrix.

    ReplyDelete
  7. phantomApril 7, 2009 at 8:09 AM

    taking #1 for an example for the illustration above:
    (15*22 + 15*45)
    (38*22 + 38*45)
    (330+675)
    (836+1710)
    =(1005)
    (2546)

    ReplyDelete
  8. phantomApril 7, 2009 at 8:13 AM

    to d chosen 1:
    don't think that you doin matricies rite jred i think u aint multiplyin right

    ReplyDelete
  9. phantomApril 7, 2009 at 8:22 AM

    to d chosen 1:
    my bad hoss
    ah didnt see yuh used 24 instead of 45

    ReplyDelete
  10. phantomApril 7, 2009 at 8:26 AM

    #2:
    (41) (12)
    (02) (41)
    (41*12 + 41*41)
    (02*12 + 02*41)
    =(492+1681)
    (24+82)
    =(2173)
    (106)

    ReplyDelete
  11. WeezyApril 7, 2009 at 11:57 AM

    Very`good`matrices`sites:

    http://home.scarlet.be/~ping1339/matr.htm
    or
    http://www.maths.surrey.ac.uk/explore/emmaspages/option1.html

    ReplyDelete
  12. suspect RApril 7, 2009 at 4:36 PM

    In the notation above for the questions is it that the double digits are one or is it single like |2,2| or is it twenty two |22| . I really do not understand which it is, if the double digits are one or are they single.

    ReplyDelete
  13. suspect RApril 7, 2009 at 4:40 PM

    Solve using the matrix method
    3x+5y= 19
    4x+5y= 20

    ReplyDelete
  14. phantomApril 8, 2009 at 3:24 AM

    #5:
    (44) (52)
    (44) (35)
    (44*52 + 44*35)
    (44*52 + 44*35)
    (2288 + 1540)
    (2288 + 1540)
    =(3798)
    (2798)

    ReplyDelete
  15. phantomApril 8, 2009 at 3:27 AM

    #6:
    (10) (05)
    (08) (44)
    =(10*05 + 10*44)
    (08*05 + 08*44)
    =(50 + 440)
    (40 + 220)
    =(490)
    (260)

    ReplyDelete
  16. AdriaApril 8, 2009 at 7:37 AM

    a simple technique for solving matrices is to look at the lay out of the matrix and you can assume the outcome
    i.e. a (2*2)* (2*1) = (2*1)
    a...b * p a*p + b*p
    c...d q = c*q + d*q

    ReplyDelete
  17. AdriaApril 8, 2009 at 7:46 AM

    #7
    [23....32]= 23*32+ 23*33 = 736+ 759 = 1495
    [36....33] 36*23+ 36*33 828+ 1188 2016

    ReplyDelete
  18. AdriaApril 8, 2009 at 7:49 AM

    #8
    [05...00]= 05*00+ 05*45 = 0
    [08...45]= 08*00+ 08*45 = 0
    =(0)

    ReplyDelete
  19. Low riderApril 8, 2009 at 10:26 AM

    suspect r that is the same thing i am trying to figure out, i know how to solve it but cannot understand it as in the contents of the post

    ReplyDelete
  20. Swanky ThingApril 8, 2009 at 8:53 PM

    Hey "phantom" i cleary understand what you are doing. Your explanation is quite good..

    ReplyDelete
  21. Swanky ThingApril 8, 2009 at 8:58 PM

    Question 10

    | 3 6 | | 6 3 |
    | 6 3 | | 3 6 |

    Row by column multiplication
    (36 * 63 + 36 * 36)
    (63 * 63 + 63 * 36)

    (2268 + 1296)
    (3969 + 2268)

    (3564)
    (6237)

    ReplyDelete
  22. the best oneApril 9, 2009 at 7:31 AM

    Question1

    [15* 22] + [15* 24]
    [38* 22] + [38* 24]

    [690]
    [1728]

    ReplyDelete
  23. the best oneApril 9, 2009 at 7:32 AM

    Question2
    (41) (12)
    (02) (41)
    (41*12 + 41*41)
    (02*12 + 02*41)
    =(492+1681)
    (24+82)
    =(2173)
    (106)

    ReplyDelete
  24. Low riderApril 9, 2009 at 10:02 AM

    Ok i now understand and it now looks like how i knew it from school.

    ReplyDelete
  25. FLASHApril 9, 2009 at 3:40 PM

    [59 21]
    [32 27]

    [59*21 + 59*27]
    [32*21 + 32*27]


    [2832]
    [1536]

    ReplyDelete
  26. FLASHApril 9, 2009 at 3:41 PM

    for the chosen one
    Question2
    (41) (12)
    (02) (41)
    (41*12 + 41*41)
    (02*12 + 02*41)
    =(492+1681)
    (24+82)
    =(2173)
    (106)

    ReplyDelete
  27. FLASHApril 9, 2009 at 3:43 PM

    Question 10

    | 3 6 | | 6 3 |
    | 6 3 | | 3 6 |

    Multiply row by columb
    (36 * 63 + 36 * 36)
    (63 * 63 + 63 * 36)

    (2268 + 1296)
    (3969 + 2268)

    (3564)
    (6237)

    ReplyDelete
  28. ChckPrplApril 10, 2009 at 6:38 AM

    | 1 5 | | 2 2 |
    | 3 8 | | 4 5 |

    (15 x 22)+(15 x 45)
    (38 x 22)+(38 x 45)

    (330 + 675)
    (836 + 1710)

    (1005)
    (2546)



    2.
    | 5 9 | | 2 1 |
    | 3 2 | | 2 7 |

    (59 x 21)+(59 x 27)
    (32 x 21)+(32 x 27)

    (1239 + 1593)
    ( 672 + 864)

    (2832)
    (1536)



    3.
    | 4 1 | | 1 2 |
    | 0 2 | | 4 1 |

    (41 x 12)+(41 x 41)
    (02 x 12)+(02 x 41)

    (492 + 1681)
    ( 24 + 82)

    (2173)
    ( 106)



    4.
    | 9 7 | | 3 3 |
    | 9 8 | | 3 3 |

    (97 x 33)+(97 x 33)
    (98 x 33)+(98 x 33)

    (6402)
    (6468)



    5.
    | 4 4 | | 5 2 |
    | 4 4 | | 3 5 |

    (44 x 52)+(44 x 35)
    (44 x 52)+(44 x 35)

    (3828)
    (3828)


    6.
    | 1 0 | | 0 5 |
    | 0 8 | | 4 4 |

    (10 x 05)+(10 x 44)
    (08 x 05)+(08 x 44)

    (490)
    (392)


    7.
    | 2 3 | | 3 2 |
    | 3 6 | | 3 5 |

    (23 x 32)+(23 x 35)
    (36 x 32)+(36 x 35)

    (1637)
    (2412)


    8.
    | 0 5 | | 0 0 |
    | 0 8 | | 4 5 |

    (05 x 00)+(05 x 45)
    (08 x 00)+(08 x 45)

    (225)
    (360)


    9.
    | 2 2 | | 3 3 |
    | 2 2 | | 3 3 |

    (22 x 33)+(22 x 33)
    (22 x 33)+(22 x 33)

    (1452)
    (1452)


    10.
    | 3 6 | | 6 3 |
    | 6 3 | | 3 6 |

    (36 x 63)+(36 x 36)
    (63 x 63)+(63 x 36)

    (3564)
    (6237)

    ReplyDelete
  29. Hellscream!!!April 10, 2009 at 8:58 PM

    1)note: when multiplying its always row by column

    [1 5] [2 2]
    [3 8] [4 5]

    [1*2 + 1*4 5*2 + 5*2]
    [3*2 + 3*4 8*2 + 8*2]

    [2 + 4 10 + 10]
    [6 + 12 16 + 16]

    [6 20]
    [18 32]

    ReplyDelete
  30. Hellscream!!!April 10, 2009 at 9:03 PM

    2)note: when multiplying its always row by column

    [5 9] [2 1]
    [3 2] [2 7]

    [5*2 + 5*2 9*1 + 9*7]
    [3*2 + 3*2 2*1 + 2*7]

    [10 + 10 9 + 63]
    [ 6 + 6 2 + 14]

    [20 72]
    [12 16]

    ReplyDelete
  31. Hellscream!!!April 10, 2009 at 9:08 PM

    3)

    [4 1] [1 2]
    [0 2] [4 1]

    [4*1 + 4*4 1*2 + 1*1]
    [0*1 + 0*4 2*2 + 2*1]

    [20 3]
    [0 6]

    ReplyDelete
  32. Hellscream!!!April 10, 2009 at 9:14 PM

    4)

    [9 7] [3 3]
    [9 8] [3 3]

    [9*3 + 9*3 7*3 + 7*3]
    [9*3 + 9*3 8*3 + 8*3]

    [27 + 27 21 + 21]
    [27 + 27 24 + 24]

    [54 42]
    [54 48]

    ReplyDelete
  33. Hellscream!!!April 10, 2009 at 9:17 PM

    5)

    [4 4] [5 2]
    [4 4] [3 5]

    [4*5 + 4*3 4*2 + 4*5]
    [4*5 + 4*3 4*2 + 4*5]

    [20 + 12 8 + 20]
    [20 + 12 8 + 20]

    [32 28]
    [32 28]

    ReplyDelete
  34. Hellscream!!!April 10, 2009 at 9:21 PM

    6)

    [1 0] [0 5]
    [0 8] [4 4]

    [1*0 + 0*4 1*5 + 0*4]
    [0*0 + 8*4 0*5 + 8*4]

    [0 5]
    [32 32]

    ReplyDelete
  35. Hellscream!!!April 10, 2009 at 9:31 PM

    7)

    [2 3] [3 2]
    [3 6] [3 5]

    [2*3 + 3*3 2*2 + 3*5]
    [3*3 + 6*3 3*2 + 6*5]

    [6 + 9 4 + 15]
    [9 + 18 6 + 30]

    [15 19]
    [24 36]

    ReplyDelete
  36. Hellscream!!!April 10, 2009 at 9:42 PM

    8)

    [0 5] [0 0]
    [0 8] [3 5]

    [0*0 + 5*3 0*0 + 5*5]
    [0*0 + 8*3 0*0 + 8*5]

    [15 25]
    [24 40]

    ReplyDelete
  37. Hellscream!!!April 10, 2009 at 9:46 PM

    9)

    [2 2] [3 3]
    [2 2] [3 3]

    [2*3 + 2*3 2*3 + 2*3]
    [2*3 + 2*3 2*3 + 2*3]

    [12 12]
    [12 12]

    ReplyDelete
  38. Hellscream!!!April 10, 2009 at 9:53 PM

    10)

    [3 6] [6 3]
    [6 3] [3 6]

    [3*6 + 6*3 3*3 + 6*6]
    [6*6 + 3*3 6*3 + 3*6]

    [18 + 18 9 + 36]
    [36 + 9 18 + 18]

    [36 45]
    [45 36]

    ReplyDelete
  39. poopsiepumkinpieApril 11, 2009 at 11:47 AM

    | 5 9 | | 2 1 |
    | 3 2 | | 2 7 |

    (59 x 21)+(59 x 27)
    (32 x 21)+(32 x 27)

    (1239 + 1593)
    ( 672 + 864)

    (2832)
    (1536)



    7)

    [2 3] [3 2]
    [3 6] [3 5]

    [2*3 + 3*3 2*2 + 3*5]
    [3*3 + 6*3 3*2 + 6*5]

    [6 + 9 4 + 15]
    [9 + 18 6 + 30]

    [15 19]
    [24 36]

    ReplyDelete
  40. poopsiepumkinpieApril 11, 2009 at 11:50 AM

    jus remember ROW * COLUMN

    ReplyDelete
  41. animechicApril 12, 2009 at 7:14 AM

    but doesn't the number of rows has to be the same as the number of columns when u're multiplying or dividing

    ReplyDelete
  42. the best oneApril 14, 2009 at 3:31 AM

    [97 33]
    [98 33]

    [97*33 + 97*33]
    [98*33 + 98*33]

    [6402]
    [6468]

    ReplyDelete
  43. the best oneApril 14, 2009 at 3:32 AM

    question9
    [2 2] [3 3]
    [2 2] [3 3]

    [2*3 + 2*3 2*3 + 2*3]
    [2*3 + 2*3 2*3 + 2*3]

    [12 12]
    [12 12]

    ReplyDelete
  44. BladeApril 17, 2009 at 10:51 PM

    so basically for a matrix multiplication it's row by column and add the result and there must be the same number of rows and columns.......... i think i'll try #6

    | 1 0 | | 0 5 |
    | 0 8 | . | 4 4 |

    =[(1*0 + 0*4)( 1*5 + 0*4)]
    [(0*0 + 8*4) (0*5 + 8*4)]

    =[0 5]
    [32 32]

    ReplyDelete
  45. Chun-LiApril 27, 2009 at 8:44 PM

    This comment has been removed by the author.

    ReplyDelete
  46. Chun-LiApril 27, 2009 at 8:46 PM

    This comment has been removed by the author.

    ReplyDelete
  47. Chun-LiApril 27, 2009 at 8:47 PM

    when multiplying matricies...its always
    row x column

    ReplyDelete
  48. Chun-LiApril 27, 2009 at 8:49 PM

    This comment has been removed by the author.

    ReplyDelete
  49. Chun-LiApril 27, 2009 at 8:50 PM

    This comment has been removed by the author.

    ReplyDelete
  50. Chun-LiApril 27, 2009 at 8:52 PM

    This comment has been removed by the author.

    ReplyDelete
  51. Chun-LiApril 27, 2009 at 8:53 PM

    Q6.
    | 1 0 | | 0 5 |
    | 0 8 | . | 4 4 |

    = [1*0 + 0*4 1*5 + 0*4]
    [0*0 + 8*4 0*5 + 8*4]

    = [0 5]
    [32 32]

    ReplyDelete
  52. Chun-LiApril 27, 2009 at 8:55 PM

    This comment has been removed by the author.

    ReplyDelete
  53. Chun-LiApril 27, 2009 at 8:59 PM

    This comment has been removed by the author.

    ReplyDelete
  54. Chun-LiApril 27, 2009 at 9:00 PM

    This comment has been removed by the author.

    ReplyDelete
  55. Chun-LiApril 27, 2009 at 9:04 PM

    Q10.
    | 3 6 | | 6 3 |
    | 6 3 | . | 3 6 |

    = [3*6 + 6*3]+ [3*3 + 6*6]
    [6*6 + 3*3] + [6*3 + 3*6]


    =[36 45]
    [45 36]

    ReplyDelete
  56. Chun-LiApril 27, 2009 at 9:10 PM

    Q1.
    | 1 5 | | 2 2 |
    | 3 8 | . | 4 5 |

    =[1*2 + 1*4]+ [5*2 + 5*2]
    [3*2 + 3*4]+ [8*2 + 8*2]

    =[2 + 4]+[10 + 10]
    [6 + 12]+[16 + 16]

    =[6 20]
    [18 32]

    ReplyDelete
  57. Chun-LiApril 27, 2009 at 9:12 PM

    Q2.
    [5 9] [2 1]
    [3 2] [2 7]

    [5*2 + 5*2]+ [9*1 + 9*7]
    [3*2 + 3*2] + [2*1 + 2*7]


    =[20 72]
    [12 16]

    ReplyDelete
  58. Chun-LiApril 27, 2009 at 9:13 PM

    Q3.
    [4 1] [1 2]
    [0 2] [4 1]

    =[4*1 + 4*4]+ [1*2 + 1*1]
    [0*1 + 0*4]+[2*2 + 2*1]

    =[20 3]
    [0 6]

    ReplyDelete
  59. Chun-LiApril 27, 2009 at 9:14 PM

    Q4.
    [9 7] [3 3]
    [9 8] [3 3]

    =[9*3 + 9*3]+ [7*3 + 7*3]
    [9*3 + 9*3]+ [8*3 + 8*3]

    =[54 42]
    [54 48]

    ReplyDelete
  60. Chun-LiApril 27, 2009 at 9:15 PM

    Q5.
    [4 4] [5 2]
    [4 4] [3 5]

    =[4*5 + 4*3]+ [4*2 + 4*5]
    [4*5 + 4*3]+ [4*2 + 4*5]

    =[32 28]
    [32 28]

    ReplyDelete
  61. Chun-LiApril 27, 2009 at 9:17 PM

    Q7.
    [2 3] [3 2]
    [3 6] [3 5]

    =[2*3 + 3*3] +[2*2 + 3*5]
    [3*3 + 6*3]+ [3*2 + 6*5]

    =[15 19]
    [24 36]

    ReplyDelete
  62. Chun-LiApril 27, 2009 at 9:18 PM

    Q8.
    [0 5] [0 0]
    [0 8] [3 5]

    =[0*0 + 5*3]+ [0*0 + 5*5]
    [0*0 + 8*3 ]+[0*0 + 8*5]

    =[15 25]
    [24 40]

    ReplyDelete
  63. Chun-LiApril 27, 2009 at 9:19 PM

    Q9.
    [2 2] [3 3]
    [2 2] [3 3]

    =[2*3 + 2*3] +[2*3 + 2*3]
    [2*3 + 2*3 ]+[2*3 + 2*3]

    =[12 12]
    [12 12]

    ReplyDelete

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