How can I solve Inverse matrix ?
I have a problem to understand it ,Plz help me to clear about it .

Asked by Ashish | 17th Apr, 2017, 03:12: PM

Expert Answer:

begin mathsize 16px style To space find space inverse space of space straight a space matrix space we space have space 2 space methods colon
1. space Row space or space Column space transformations.
2. space Using space adjoint space matrix.
In space the space first space method space you space can space either space use space row space or space column space transformation.
Note space steps space for space row space transformation colon
1. space You space have space to space make space straight a subscript 11 equals 1 space left parenthesis space first space rwo space and space first space column right parenthesis
2. space To space make space straight a subscript 21 space and space straight a subscript 31 space zeros.
3. space Make space straight a subscript 22 equals 1
4. space Make space straight a subscript 12 space and space straight a subscript 32 space are space zeros.
5. space Make space straight a subscript 33 equals 1.
6. space Make space straight a subscript 13 space and space straight a subscript 23 space are space zeros.
If space you space make space 1 space at space any space places space you space can space use space the space formula space to space make space zero space at space the space other space places.
For space example comma space you space want space to space make space zero space at space the space place space of space straight a subscript 21 space then space for space row space transformation
straight R subscript 2 plus-or-minus straight a subscript 11 straight R subscript 1 space this space means space write space for space which space row space you space want space row space and space take space that space number space with space
opposite space sign space multiplied space by space row space which space has space already space 1.
open square brackets table row 1 4 row 3 0 end table close square brackets
We space want space to space make space straight a subscript 21 space as space zero. space Hence comma space straight R subscript 2 minus 3 straight R subscript 1.
Taking space same space number space with space opposite space number space at space straight R subscript 2.
Same space formula space to space make space zero space for space column space transformation space replacing space straight R space by space straight C.
In space short colon
For space 1 to the power of st space column space use space straight R subscript 2 plus-or-minus straight a subscript 11 straight R subscript 1 space and space straight R subscript 3 plus-or-minus straight a subscript 11 straight R subscript 1
For space 2 to the power of nd space column space use space straight R subscript 1 plus-or-minus straight a subscript 22 straight R subscript 2 space and space straight R subscript 3 plus-or-minus straight a subscript 22 straight R subscript 2
For space 3 to the power of rd space column space use space straight R subscript 1 plus-or-minus straight a subscript 33 straight R subscript 3 space and space straight R subscript 2 plus-or-minus straight a subscript 33 straight R subscript 3



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Answered by Sneha shidid | 18th Apr, 2017, 08:31: AM