5 by 5 matrix..

poonam biswakarm
@poonam-biswakarm-SqLlgU โ€ข Oct 25, 2024

Hello..
Can anyone please help me...I am finding problem in solving the inverse of 5 by 5 matrix. It becomes very lengthy. It will be better if sumone tell me some shortcut way.
thanking you,
poonam

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  • silverscorpion

    @silverscorpion-iJKtdQ • Nov 18, 2010

    Well, if you go by the determinant and the co-factor method, it will obviously be very difficult indeed..

    But there is another very simple and elegant method for computing inverses very easily..
    You can use row and column operations and try to reduce the given matrix into an identity matrix.

    <a href="https://www.purplemath.com/modules/mtrxinvr.htm" target="_blank" rel="nofollow noopener noreferrer">How in the heck do you invert a matrix? And why? | Purplemath</a>. It's very easy..

  • poonam biswakarm

    @poonam-biswakarm-SqLlgU • Nov 19, 2010

    Thank you....

  • nsiva007

    @nsiva007-A2PyAC • Nov 29, 2010

    Cool technique scorpion....! very cool technique to find inverse of a matrix...!

  • poonam biswakarm

    @poonam-biswakarm-SqLlgU • Nov 30, 2010

    Ya its cool and interesting too...

  • silverscorpion

    @silverscorpion-iJKtdQ • Nov 30, 2010

    you can do much more with this method.. you can also use it to solve algebraic equations..

    actually, it's from solving equations, the problem of finding the inverse came about.

    suppose we have a system of equations, AX = B, where A is a nxn matrix, X and B are nx1 matrices, to solve this system, we have to solve for X.

    This we solve by, X = (A)[sup]-1[/sup]B.

    This was basically the need for computing inverse..

  • nikeace003

    @nikeace003-Oy1Bsa • Feb 1, 2011

    well you can solve it in many ways, depending on what type of matrix you are trying to solve..you may post it here..

  • poonam biswakarm

    @poonam-biswakarm-SqLlgU • Feb 3, 2011

    Thank you..