TR3.5
Taproot
2021-10-02 Sat 10:58
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Homogeneous Systems of Equations
lin alg flo 20
Table of Contents
1. #definition Homogeneous Equation
2. Properties
2.1. If a linear combination of linearly independent vectors then all coefficients are 0
2.2. if linearly dependent, then are multiple solutions (atleast dim1 infinitely many because you can scale)
2.3. There's always a solution: the trivial one (all coefficients are zero)
2.3.1. unlike systems of equations, you can't have no solution because linear maps take zero to zero
1
#definition Homogeneous Equation
When the right side equals zero.
2
Properties
2.1
If a linear combination of linearly independent vectors then all coefficients are 0
2.2
if linearly dependent, then are multiple solutions (atleast dim1 infinitely many because you can scale)
2.3
There's always a solution: the trivial one (all coefficients are zero)
2.3.1
unlike systems of equations, you can't have no solution because linear maps take zero to zero