ANOTHER CONTINUATION ...
A system is
said to be in Row-Echelon Form if it follows a
stair-step pattern and has leading coefficients of 1.One can easily solve a
system using Back-substitution.
Two
systems of Linear Equations are called equivalent if they precisely have the
same solution set.
Operations that lead to equivalent systems of equations
1. Interchange two equations
2. Multiply an equation by a nonzero constant
3. Add a multiple of an equation to another equation
The process above is also called Gaussian Elimination, after the German
Mathematician Carl Friedrich Gauss (1777-1855)
~Fujimiya Kaori (Ishuukan Friends)
Two
systems of Linear Equations are called equivalent if they precisely have the
same solution set.
Operations that lead to equivalent systems of equations
1. Interchange two equations
2. Multiply an equation by a nonzero constant
3. Add a multiple of an equation to another equation
The process above is also called Gaussian Elimination, after the German Mathematician Carl Friedrich Gauss (1777-1855)
Operations that lead to equivalent systems of equations
1. Interchange two equations
2. Multiply an equation by a nonzero constant
3. Add a multiple of an equation to another equation
The process above is also called Gaussian Elimination, after the German Mathematician Carl Friedrich Gauss (1777-1855)
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''Math is like a puzzle, or a game. There's one
answer, and you're going on an adventure to find it. But there's many
differient paths you can take, so it's really rewarding when you reach the
goal. Sometimes, it takes a bit of insight. Other times, you can craft your own
method. Even the most convulted methods can get you to the answer. No matter
how ugly your solution may be, the fact that you constructed something yourself
is something to be proud of.''
~Fujimiya Kaori (Ishuukan Friends)
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