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chrisplusian

  • one year ago

another linear algebra question about transpose

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  1. chrisplusian
    • one year ago
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    if a and b are both column matrices of the same size (nx1), what is the relationship between (a^T)b and (b^T)a ???

  2. chrisplusian
    • one year ago
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    THe only thing that I was able to come up with is that there products will both be 1x1 matrices. However, this class so far has been mostly about proofs and I can't see the answer being that simple.

  3. ganeshie8
    • one year ago
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    looks they are transposes of each other

  4. ganeshie8
    • one year ago
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    try simplifying ((a^T)b)^T

  5. chrisplusian
    • one year ago
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    =(b^t)*((a^t)^t)=(b^t)*a

  6. chrisplusian
    • one year ago
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    I see now they are transposes, thank you

  7. ganeshie8
    • one year ago
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    is that it or are you looking for some other relation between them

  8. chrisplusian
    • one year ago
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    Honestly I don't know. My professor chose a book that is not widely used. It is not much on explaining things and almost makes a better reference book. He is the head of our Universities math department and chose the book because there are no solutions guides for it, and because it is not on Chegg. So when I get confused this is where I go lol

  9. chrisplusian
    • one year ago
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    You saw the whole question, and the book gives no answer, this is ungraded homework so I have no idea if that is the relation they want, but this section is dealing with transposes so it seams reasonable

  10. ganeshie8
    • one year ago
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    yeah that answer sounds good to me too, its just that its kinda trivial.. btw which book ?

  11. chrisplusian
    • one year ago
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    http://www.amazon.com/Linear-Algebra-Professor-Martin-Anthony/dp/0521279488

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spraguer (Moderator)
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is replying to Can someone tell me what button the professor is hitting...

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