Matrix

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rakeen
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Matrix

Unread post by rakeen » Sat Dec 18, 2010 10:59 am

Is A'=A ?

here A' is transpose matrix of A. :geek:
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Adi_pagla
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Re: Matrix

Unread post by Adi_pagla » Sat Dec 18, 2010 7:38 pm

I think it is..whats ur ans bro?

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Moon
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Re: Matrix

Unread post by Moon » Sat Dec 18, 2010 8:01 pm

rakeen wrote:Is A'=A ?

here A' is transpose matrix of A. :geek:
It is not necessarily true (only true if the matrix is symmetric).
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)
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rakeen
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Re: Matrix

Unread post by rakeen » Sun Dec 19, 2010 7:17 pm

then A and A'(i mean transpose) should be exactly the same.
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Moon
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Re: Matrix

Unread post by Moon » Sun Dec 19, 2010 10:35 pm

rakeen wrote:then A and A'(i mean transpose) should be exactly the same.
Iff the $A$ is symmetric.
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tanvirab
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Re: Matrix

Unread post by tanvirab » Mon Dec 20, 2010 2:15 am

$A$ and $A^T$ are not the same.
Let's go step by step. What is your definition of transpose matrix?

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rakeen
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Re: Matrix

Unread post by rakeen » Mon Dec 20, 2010 12:44 pm

বিম্বভ মাত্রিক্স।
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tanvirab
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Re: Matrix

Unread post by tanvirab » Mon Dec 20, 2010 6:05 pm

এইটা কি transpose এর বাংলা? আগে কখনো শুনি নাই। কই পাইলা?

যাই হোক, আমি জানতে চাইসিলাম, transpose এর সংজ্ঞা।

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Avik Roy
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Re: Matrix

Unread post by Avik Roy » Sat Jan 01, 2011 5:32 pm

"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
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Moon
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Re: Matrix

Unread post by Moon » Sun Jan 02, 2011 3:22 am

বিম্ভব হা হা। :)
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