basics
arrangement of rows and columns
matrix
order of the matrics
3 cross 3 with respect to Matrix tells that
Number of Non zero rows in the echelon form
Rank is defined as
use only row transformations
to reduce the Matrix to Echelon Form
System of equations
set of equation of 1st degree with 3 unknowns in 3 equations
Gauss Elimination method
is one of the Method to solve System of Equation
we reduce the matrix to echelon form
in Gauss Elimination method
Only Row transformations
are used in Gauss Elimination Method
Back substitution method is used to Know the Values of the Unknowns
In Gauss elimination and Jordan Method
Reduce the Metrics to Diagonal Metrics
In Gauss Jordan method
Augmented Matrics representation is used in
Both Gauss elimination and Gauss Jordan method
Diagonally dominance is Ensured in
Gauss Seidel Iterative Method
The process of using current calculation values in Next approximation as initial values
Iterative Method
Rayleigh's power Method
To Find the dominant Eigen Value and the Dominant Eigen Vector
Modal Matrics
Is Matrics of Eigen Vectors
Only if the Matrics is Regular
Inverse of the Matrics exists
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With Rayleighs Power method
Eigen Values are
Roots of The Characteristic Equation
A Third Order Matrics will have
3 Eigen Values and 3 eigen vectors
System is consistent
only if Rank of the Co efficient Matrics is same the Augmented matrics