By Kardi Teknomo, PhD .
LinearAlgebra

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A homogeneous linear system Matrix Nullity & Null Space can be thought as a linear transformation of a vector Matrix Nullity & Null Space in Matrix Nullity & Null Space dimensional space into zero vector in Matrix Nullity & Null Space dimensional space.

The solution Matrix Nullity & Null Space of a homogeneous system of equations Matrix Nullity & Null Space is called the null space of Matrix Nullity & Null Space and the dimension of the null space is called the nullity of Matrix Nullity & Null Space .

The dimension of the range and the null space of a matrix are related through fundamental relationship Matrix Nullity & Null Space . Where Matrix Nullity & Null Space is the number of original unknowns.

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See also : rank through RREF , matrix rank , matrix range , solving system linear equations

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