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Algebra

Blazing goIITian

Joined:	15 Apr 2009
Post:	869

23 Apr 2009 23:45:33 IST

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398

INVERSE FOR MATRIX

None

hey...can ny1 tel me d method to find inverse of a matrix...bcz in my viteee there was a inverse question whch was time consuming...ny shrtcuts ?? plz help

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KAPIL CVS

Blazing goIITian

Joined: 7 May 2007

Posts: 1724

23 Apr 2009 23:48:45 IST

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step 1) find cofactor matrix.

step 2)transpose it.

step 3) the transposed matrix is the adjoint of the matrix.

step 4)find the determinant of original matrix.

step 5)divide the adjoint by determinant to get the inverse of the matrix.

rate the post.

...pagal guy...

Blazing goIITian

Joined: 15 Apr 2009

Posts: 869

23 Apr 2009 23:55:09 IST

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dude..this method i also know...some kind of shrtcut...bcz while givin tht xam most of d questns had to be slvd within a minute or less..i smwhre read abt some elimination method...if you knw plz help me..

KAPIL CVS

Blazing goIITian

Joined: 7 May 2007

Posts: 1724

24 Apr 2009 00:00:42 IST

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hey one more method i know. that is elementary method.

first write the given matrix in format,

A=IA. WE KNOW, ANY MATRIX MULTIPLIED BY IDENTITY IS ITSELF.

SO CARRY OUT IN THE LHS THE STEPS ONLY ROWWISE OR ONLY COLUMNWISE TO MAKE IT A IDENTITY MATRIX.

FOLLOW SAME STEPS IN IDENTITY MATRIX OF RHS. NOW THE EQUATION COMES OUT AS THUS:

I = A*A^-1.

WE KNOW A*A^-1 =I

...pagal guy...

Blazing goIITian

Joined: 15 Apr 2009

Posts: 869

24 Apr 2009 00:05:20 IST

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thnx man...

KAPIL CVS

Blazing goIITian

Joined: 7 May 2007

Posts: 1724

24 Apr 2009 00:07:25 IST

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remember steps must be carried out only rowwise or only columnwise. not both columnwise and rowwise.

...pagal guy...

Blazing goIITian

Joined: 15 Apr 2009

Posts: 869

24 Apr 2009 00:11:38 IST

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ya yaar...itna toh pada likha hun hi main... :-p

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