Matrix
Re: Matrix
It is not necessarily true (only true if the matrix is symmetric).rakeen wrote:Is A'=A ?
here A' is transpose matrix of A.
A square matrix whose transpose is equal to itself is called a symmetric matrix; that is, $A$ is symmetric if
$A^{T}=A$
(I am writing $A^T$ because $A'$ usually means inverse matrix)
From wikipedia: http://en.wikipedia.org/wiki/Transpose (BTW it is also a good article if you want to know the definition of Transpose Matrix)
"Inspiration is needed in geometry, just as much as in poetry." -- Aleksandr Pushkin
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Re: Matrix
Iff the $A$ is symmetric.rakeen wrote:then A and A'(i mean transpose) should be exactly the same.
"Inspiration is needed in geometry, just as much as in poetry." -- Aleksandr Pushkin
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Re: Matrix
$A$ and $A^T$ are not the same.
Let's go step by step. What is your definition of transpose matrix?
Let's go step by step. What is your definition of transpose matrix?
Re: Matrix
এইটা কি transpose এর বাংলা? আগে কখনো শুনি নাই। কই পাইলা?
যাই হোক, আমি জানতে চাইসিলাম, transpose এর সংজ্ঞা।
যাই হোক, আমি জানতে চাইসিলাম, transpose এর সংজ্ঞা।
Re: Matrix
"বিম্বভ"- নামটা পছন্দ হইল।
@Rakeen, Transpose of a matrix is formed by exchanging the rows and columns. If the matrix is not square, the equality is beyond question. In case of square matrix, the equality will hold iff the entry in ith row and jth column is the same as the element of jth row and ith column...ie if the matrix is symmetric.
However, all this is true if you define Transpose of a matrix the same way i have
@Rakeen, Transpose of a matrix is formed by exchanging the rows and columns. If the matrix is not square, the equality is beyond question. In case of square matrix, the equality will hold iff the entry in ith row and jth column is the same as the element of jth row and ith column...ie if the matrix is symmetric.
However, all this is true if you define Transpose of a matrix the same way i have
"Je le vois, mais je ne le crois pas!" - Georg Ferdinand Ludwig Philipp Cantor
Re: Matrix
বিম্ভব হা হা।
"Inspiration is needed in geometry, just as much as in poetry." -- Aleksandr Pushkin
Please install LaTeX fonts in your PC for better looking equations,
learn how to write equations, and don't forget to read Forum Guide and Rules.
Please install LaTeX fonts in your PC for better looking equations,
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