Why are systems of linear equations of the form Ax=0 called homogeneous? What is the...
Why are systems of linear equations of the form called homogeneous?
What is the motivation behind the word "homogeneous"?
Answer & Explanation
Beginner2022-02-19Added 6 answers
Because in the equation
all terms are of degree 1. On the other hand, the equation also has terms of degree 0.
Beginner2022-02-20Added 9 answers
A system of equation is linear if any equation is first degree and is homogeneous if any term (not null) in any equation has the same degree.
So homogeneity refers to the fact that all therms have the same degree.
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