Results 1 to 3 of 3

Math Help - Matrix questions

  1. #1
    Junior Member
    Joined
    Feb 2011
    Posts
    56

    Matrix questions

    (Matrix questions-dsc00572.jpg ) (Matrix questions-dsc00576.jpg)

    I need help with (5) and (24). For (5), i can find MU and MV but have difficulty in finding M^nU and M^nV. For (24), i can solve (i) but don't know how to find (A+I)^21B.

    The answer for (5): M^nU=6^nu; M^nV=9^nV...

    As for (24) (A+I)^21B =
    row1: (-3 1 5)
    row2: (6 -2 -10)
    row3: (3 -1 -5)

    Thanks in advance....
    Follow Math Help Forum on Facebook and Google+

  2. #2
    Banned
    Joined
    Oct 2009
    Posts
    4,261
    Thanks
    2
    Quote Originally Posted by MichaelLight View Post
    (Click image for larger version. 

Name:	DSC00572.jpg 
Views:	12 
Size:	490.0 KB 
ID:	21160 ) (Click image for larger version. 

Name:	DSC00576.jpg 
Views:	13 
Size:	439.3 KB 
ID:	21161)

    I need help with (5) and (24). For (5), i can find MU and MV but have difficulty in finding M^nU and M^nV. For (24), i can solve (i) but don't know how to find (A+I)^21B.

    The answer for (5): M^nU=6^nu; M^nV=9^nV...


    Induction: MU=\binom{6}{6}\,,\,\,M^2U=\binom{36}{36}\,\ldots\  ,M^nU\M(M^{n-1}U)=M\binom{6^{n-1}}{6^{n-1}}=\binom{6\cdot 6^{n-1}}{6\cdot 6^{n-1}}=\binom{6^n}{6^n}

    Try now to find and eventually prove a similar expression with V.

    Tonio



    As for (24) (A+I)^21B =
    row1: (-3 1 5)
    row2: (6 -2 -10)
    row3: (3 -1 -5)

    Thanks in advance....
    .
    Follow Math Help Forum on Facebook and Google+

  3. #3
    Junior Member
    Joined
    Feb 2011
    Posts
    56
    By using similar approach, i finally understand and managed to solve (5).... how bout 24(ii)...? how to find (A+I)^21 B?
    Follow Math Help Forum on Facebook and Google+

Similar Math Help Forum Discussions

  1. Some matrix questions
    Posted in the Advanced Algebra Forum
    Replies: 6
    Last Post: October 12th 2011, 03:52 PM
  2. 2 quick matrix questions.
    Posted in the Advanced Algebra Forum
    Replies: 2
    Last Post: January 25th 2010, 12:29 PM
  3. Matrix Questions
    Posted in the Math Topics Forum
    Replies: 1
    Last Post: February 17th 2009, 11:25 AM
  4. Matrix Questions!
    Posted in the Advanced Algebra Forum
    Replies: 2
    Last Post: June 1st 2008, 06:06 AM
  5. 2 questions on matrix
    Posted in the Advanced Math Topics Forum
    Replies: 0
    Last Post: March 14th 2008, 12:56 AM

Search Tags


/mathhelpforum @mathhelpforum