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Mathematical Methods by Pearson
book

Mathematical Methods by Pearson

by E. Rukmangadachari
May 2024
Intermediate to advanced content levelIntermediate to advanced
437 pages
17h 41m
English
Pearson India
Content preview from Mathematical Methods by Pearson
1-22 Mathematical Methods
111
1222
333
111
333
222
100
001
010
abc
EA a b c
abc
abc
abc
abc
⎡⎤
⎡⎤
⎢⎥
⎢⎥
⋅=
⎢⎥
⎢⎥
⎢⎥
⎢⎥
⎣⎦
⎣⎦
⎡⎤
⎢⎥
=
⎢⎥
⎢⎥
⎣⎦
So, pre-multiplication by E
1
has interchanged
the second and third rows of A. Similarly pre-
multiplication by E
2
will multiply the second row of A
by k and pre-multiplication by E
3
will result in the
addition of p times the second row of A to its first row.
1.11.3 Method 2: Gauss–Jordan
6–7
Method of Finding the
Inverse of a Matrix
Those elementary row transformations which reduce
a given square matrix A to the unit matrix when
applied to the unit matrix I give the inverse of A.
Let the successive row transformations which
reduce ...
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Publisher Resources

ISBN: 9781299446557Publisher Website