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Matrix Multiplication and Rank of Matrix

  1. Aug 2, 2011 #1
    Dear Forum,

    I have one question on matrix multiplication.

    Suppose there are 2 matrices -

    A = 1 -1 0
    0 2 -1
    2 0 -1

    B = 1
    1
    2

    and AB = 0 (Zero Matrix)
    if B not a zero-matrix, then rank(A) is less than s, where s is the dimension of B.

    I wanted to have a proof and explanation for this.
    Any book / link? :)

    Thank You,
    Raj
     
  2. jcsd
  3. Aug 2, 2011 #2
  4. Aug 3, 2011 #3
    Thanks a lot for the reply ! :)
     
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