Meet the concept↗
The kernel is spanned by the vector (1,1,0), and the range is all of the two-dimensional codomain. The nullity is one and the rank is two.
Conditions: The linear map is defined as T(x₁,x₂,x₃)=(x₁−x₂,2x₃).; The domain is three-dimensional and the codomain is two-dimensional.
YouTubeRank and Nullity
0:00 – 3:00Watch this moment ↗
The kernel is spanned by the vector (1,1,0), and the range is all of the two-dimensional codomain. The nullity is one and the rank is two.
Conditions: The linear map is defined as T(x₁,x₂,x₃)=(x₁−x₂,2x₃).; The domain is three-dimensional and the codomain is two-dimensional.
YouTubeRank and Nullity
0:00 – 3:00Watch this moment ↗