CALCULATOR
2×2 Adjugate Entry Calculator
2×2 Adjugate Entry. Entry: 0=11, 1=12, 2=21, 3=22: Row 1, column 1, Row 1, column 2, Row 2, column 1, Row 2, column 2 only. Example: A: 1 number, B: 2 number, C: 3 number, D: 4 number, Entry: 0=11, 1=12, 2=21, 3=22: 0 number gives 4 number. Classical adjugate of real 2×2 matrix; complex Hermitian adjoint deferred. Original useful product scope; historical catalog title does not grant missing modes
Classical adjugate of real 2×2 matrix; complex Hermitian adjoint deferred. Original useful product scope; historical catalog title does not grant missing modes or source parity. Derivation: Cofactor matrix transposed gives classical adjugate.
Accepted inputs: A: -100 to 100 number; B: -100 to 100 number; C: -100 to 100 number; D: -100 to 100 number; Entry: 0=11, 1=12, 2=21, 3=22: choose Row 1, column 1 (0), Row 1, column 2 (1), Row 2, column 1 (2), Row 2, column 2 (3).
How the calculation works
adj(A)=[[d,-b],[-c,a]]
Worked example
With a 1 number, b 2 number, c 3 number, d 4 number, entry: 0=11, 1=12, 2=21, 3=22 Row 1, column 1, 2×2 adjugate entry is 4 number.
Assumptions and limits
Classical adjugate of real 2×2 matrix; complex Hermitian adjoint deferred. Original useful product scope; historical catalog title does not grant missing modes or source parity. Derivation: Cofactor matrix transposed gives classical adjugate.