CALCULATOR
Diagonal 2×2 Rank Calculator
Diagonal 2×2 Rank Calculator — change the supplied values to calculate diagonal 2×2 rank.
Diagonal numeric 2×2 matrix only; exact zero comparison on entered numbers, without numerical tolerance. Tiny nonzero entries remain nonzero.
Accepted inputs: A: -100 to 100 number; D: -100 to 100 number.
How the calculation works
rank(diag(a,d))=1[a≠0]+1[d≠0]
Nonzero diagonal entries give independent nonzero basis columns.
Worked example
With a 0 number, d 4 number, diagonal 2×2 rank is 1 number.
Assumptions and limits
Diagonal numeric 2×2 matrix only; exact zero comparison on entered numbers, without numerical tolerance. Tiny nonzero entries remain nonzero.