CALCULATOR
Diagonal 2×2 Null Space Dimension Calculator
Diagonal 2×2 Null Space Dimension Calculator — change the supplied values to calculate diagonal 2×2 null space dimension.
Diagonal real 2×2 matrix only; dimension, not a null-space basis. Exact zero convention without numerical tolerance.
Accepted inputs: A: -100 to 100 number; D: -100 to 100 number.
How the calculation works
nullity=2-rank
Rank-nullity in a two-column matrix leaves one free coordinate for each zero diagonal entry.
Worked example
With a 0 number, d 4 number, diagonal 2×2 null space dimension is 1 number.
Assumptions and limits
Diagonal real 2×2 matrix only; dimension, not a null-space basis. Exact zero convention without numerical tolerance.