Non-Hermitian 2 × 2 singular matrices
[ 0 0 ; 1+1j 1 ] 1 0 [ 0 0 ; 1-1j 1 ] 1 0 [ 0 0 ; -1+1j 1 ] 1 0 [ 0 0 ; -1-1j 1 ] 1 0 [ 0 0 ; 1+1j -1 ] -1 0 [ 0 0 ; 1-1j -1 ] -1 0 [ 0 0 ; -1+1j -1 ] -1 0 [ 0 0 ; -1-1j -1 ] -1 0 [ 0 0 ; 1j 1j] j 0 [ 0 0 ; -1j 1j] j 0 [ 0 0 ; 1+1j 1j] j 0 [ 0 0 ; 1-1j 1j] j 0 [ 0 0 ; -1+1j 1j] j 0 [ 0 0 ; -1-1j 1j] j 0 [ 0 0 ; 1j -1j] -j 0 [ 0 0 ; -1j -1j] -j 0 [ 0 0 ; 1+1j -1j] -j 0 [ 0 0 ; 1-1j -1j] -j 0 [ 0 0 ; -1+1j -1j] -j 0 [ 0 0 ; -1-1j -1j] -j 0 [ 0 0 ; 1 1+1j] 1+j 0 [ 0 0 ; -1 1+1j] 1+j 0 [ 0 0 ; 1j 1+1j] 1+j 0 [ 0 0 ; -1j 1+1j] 1+j 0 [ 0 0 ; 1+1j 1+1j] 1+j 0 [ 0 0 ; 1-1j 1+1j] 1+j 0 [ 0 0 ; -1+1j 1+1j] 1+j 0 [ 0 0 ; -1-1j 1+1j] 1+j 0 [ 0 0 ; 1 1-1j] 1-j 0 [ 0 0 ; -1 1-1j] 1-j 0 [ 0 0 ; 1j 1-1j] 1-j 0 [ 0 0 ; -1j 1-1j] 1-j 0 [ 0 0 ; 1+1j 1-1j] 1-j 0 [ 0 0 ; 1-1j 1-1j] 1-j 0 [ 0 0 ; -1+1j 1-1j] 1-j 0 [ 0 0 ; -1-1j 1-1j] 1-j 0 [ 0 0 ; 1 -1+1j] -1+j 0 [ 0 0 ; -1 -1+1j] -1+j 0 [ 0 0 ; 1j -1+1j] -1+j 0 [ 0 0 ; -1j -1+1j] -1+j 0 [ 0 0 ; 1+1j -1+1j] -1+j 0 [ 0 0 ; 1-1j -1+1j] -1+j 0 [ 0 0 ; -1+1j -1+1j] -1+j 0 [ 0 0 ; -1-1j -1+1j] -1+j 0 [ 0 0 ; 1 -1-1j] -1-j 0 [ 0 0 ; -1 -1-1j] -1-j 0 [ 0 0 ; 1j -1-1j] -1-j 0 [ 0 0 ; -1j -1-1j] -1-j 0 [ 0 0 ; 1+1j -1-1j] -1-j 0 [ 0 0 ; 1-1j -1-1j] -1-j 0 [ 0 0 ; -1+1j -1-1j] -1-j 0 [ 0 0 ; -1-1j -1-1j] -1-j 0 [ 1 1+1j; 0 0 ] 1 0 [ 1 1-1j; 0 0 ] 1 0 [ 1 -1+1j; 0 0 ] 1 0 [ 1 -1-1j; 0 0 ] 1 0 [ 1 1j; 1j -1 ] 0 0 [ 1 -1j; -1j -1 ] 0 0 [ 1 1 ; 1j 1j] 1+j 0 [ 1 -1 ; -1j 1j] 1+j 0 [ 1 1 ; -1j -1j] 1-j 0 [ 1 -1 ; 1j -1j] 1-j 0 [ 1 1 ; 1+1j 1+1j] 2+j 0 [ 1 -1 ; -1-1j 1+1j] 2+j 0 [ 1 1j; 1-1j 1+1j] 2+j 0 [ 1 -1j; -1+1j 1+1j] 2+j 0 [ 1 1+1j; 1 1+1j] 2+j 0 [ 1 1-1j; 1j 1+1j] 2+j 0 [ 1 -1+1j; -1j 1+1j] 2+j 0 [ 1 -1-1j; -1 1+1j] 2+j 0 [ 1 1 ; 1-1j 1-1j] 2-j 0 [ 1 -1 ; -1+1j 1-1j] 2-j 0 [ 1 1j; -1-1j 1-1j] 2-j 0 [ 1 -1j; 1+1j 1-1j] 2-j 0 [ 1 1+1j; -1j 1-1j] 2-j 0 [ 1 1-1j; 1 1-1j] 2-j 0 [ 1 -1+1j; -1 1-1j] 2-j 0 [ 1 -1-1j; 1j 1-1j] 2-j 0 [ 1 1 ; -1+1j -1+1j] j 0 [ 1 -1 ; 1-1j -1+1j] j 0 [ 1 1j; 1+1j -1+1j] j 0 [ 1 -1j; -1-1j -1+1j] j 0 [ 1 1+1j; 1j -1+1j] j 0 [ 1 1-1j; -1 -1+1j] j 0 [ 1 -1+1j; 1 -1+1j] j 0 [ 1 -1-1j; -1j -1+1j] j 0 [ 1 1 ; -1-1j -1-1j] -j 0 [ 1 -1 ; 1+1j -1-1j] -j 0 [ 1 1j; -1+1j -1-1j] -j 0 [ 1 -1j; 1-1j -1-1j] -j 0 [ 1 1+1j; -1 -1-1j] -j 0 [ 1 1-1j; -1j -1-1j] -j 0 [ 1 -1+1j; 1j -1-1j] -j 0 [ 1 -1-1j; 1 -1-1j] -j 0 [ 1j 1j; 0 0 ] j 0 [ 1j -1j; 0 0 ] j 0 [ 1j 1+1j; 0 0 ] j 0 [ 1j 1-1j; 0 0 ] j 0 [ 1j -1+1j; 0 0 ] j 0 [ 1j -1-1j; 0 0 ] j 0 [ 1j 1j; 1 1 ] 1+j 0 [ 1j -1j; -1 1 ] 1+j 0 [ 1j 1j; -1 -1 ] -1+j 0 [ 1j -1j; 1 -1 ] -1+j 0 [ 1j 1 ; -1 1j] 2j 0 [ 1j -1 ; 1 1j] 2j 0 [ 1j 1j; 1j 1j] 2j 0 [ 1j -1j; -1j 1j] 2j 0 [ 1j 1 ; 1 -1j] 0 0 [ 1j -1 ; -1 -1j] 0 0 [ 1j 1j; -1j -1j] 0 0 [ 1j -1j; 1j -1j] 0 0 [ 1j 1 ; -1+1j 1+1j] 1+2j 0 [ 1j -1 ; 1-1j 1+1j] 1+2j 0 [ 1j 1j; 1+1j 1+1j] 1+2j 0 [ 1j -1j; -1-1j 1+1j] 1+2j 0 [ 1j 1+1j; 1j 1+1j] 1+2j 0 [ 1j 1-1j; -1 1+1j] 1+2j 0 [ 1j -1+1j; 1 1+1j] 1+2j 0 [ 1j -1-1j; -1j 1+1j] 1+2j 0 [ 1j 1 ; 1+1j 1-1j] 1 0 [ 1j -1 ; -1-1j 1-1j] 1 0 [ 1j 1j; 1-1j 1-1j] 1 0 [ 1j -1j; -1+1j 1-1j] 1 0 [ 1j 1+1j; 1 1-1j] 1 0 [ 1j 1-1j; 1j 1-1j] 1 0 [ 1j -1+1j; -1j 1-1j] 1 0 [ 1j -1-1j; -1 1-1j] 1 0 [ 1j 1 ; -1-1j -1+1j] -1+2j 0 [ 1j -1 ; 1+1j -1+1j] -1+2j 0 [ 1j 1j; -1+1j -1+1j] -1+2j 0 [ 1j -1j; 1-1j -1+1j] -1+2j 0 [ 1j 1+1j; -1 -1+1j] -1+2j 0 [ 1j 1-1j; -1j -1+1j] -1+2j 0 [ 1j -1+1j; 1j -1+1j] -1+2j 0 [ 1j -1-1j; 1 -1+1j] -1+2j 0 [ 1j 1 ; 1-1j -1-1j] -1 0 [ 1j -1 ; -1+1j -1-1j] -1 0 [ 1j 1j; -1-1j -1-1j] -1 0 [ 1j -1j; 1+1j -1-1j] -1 0 [ 1j 1+1j; -1j -1-1j] -1 0 [ 1j 1-1j; 1 -1-1j] -1 0 [ 1j -1+1j; -1 -1-1j] -1 0 [ 1j -1-1j; 1j -1-1j] -1 0 [ 1+1j 1 ; 0 0 ] 1+j 0 [ 1+1j -1 ; 0 0 ] 1+j 0 [ 1+1j 1j; 0 0 ] 1+j 0 [ 1+1j -1j; 0 0 ] 1+j 0 [ 1+1j 1+1j; 0 0 ] 1+j 0 [ 1+1j 1-1j; 0 0 ] 1+j 0 [ 1+1j -1+1j; 0 0 ] 1+j 0 [ 1+1j -1-1j; 0 0 ] 1+j 0 [ 1+1j 1 ; 1+1j 1 ] 2+j 0 [ 1+1j -1 ; -1-1j 1 ] 2+j 0 [ 1+1j 1j; 1-1j 1 ] 2+j 0 [ 1+1j -1j; -1+1j 1 ] 2+j 0 [ 1+1j 1+1j; 1 1 ] 2+j 0 [ 1+1j 1-1j; 1j 1 ] 2+j 0 [ 1+1j -1+1j; -1j 1 ] 2+j 0 [ 1+1j -1-1j; -1 1 ] 2+j 0 [ 1+1j 1 ; -1-1j -1 ] j 0 [ 1+1j -1 ; 1+1j -1 ] j 0 [ 1+1j 1j; -1+1j -1 ] j 0 [ 1+1j -1j; 1-1j -1 ] j 0 [ 1+1j 1+1j; -1 -1 ] j 0 [ 1+1j 1-1j; -1j -1 ] j 0 [ 1+1j -1+1j; 1j -1 ] j 0 [ 1+1j -1-1j; 1 -1 ] j 0 [ 1+1j 1 ; -1+1j 1j] 1+2j 0 [ 1+1j -1 ; 1-1j 1j] 1+2j 0 [ 1+1j 1j; 1+1j 1j] 1+2j 0 [ 1+1j -1j; -1-1j 1j] 1+2j 0 [ 1+1j 1+1j; 1j 1j] 1+2j 0 [ 1+1j 1-1j; -1 1j] 1+2j 0 [ 1+1j -1+1j; 1 1j] 1+2j 0 [ 1+1j -1-1j; -1j 1j] 1+2j 0 [ 1+1j 1 ; 1-1j -1j] 1 0 [ 1+1j -1 ; -1+1j -1j] 1 0 [ 1+1j 1j; -1-1j -1j] 1 0 [ 1+1j -1j; 1+1j -1j] 1 0 [ 1+1j 1+1j; -1j -1j] 1 0 [ 1+1j 1-1j; 1 -1j] 1 0 [ 1+1j -1+1j; -1 -1j] 1 0 [ 1+1j -1-1j; 1j -1j] 1 0 [ 1+1j 1+1j; 1+1j 1+1j] 2+2j 0 [ 1+1j 1-1j; -1+1j 1+1j] 2+2j 0 [ 1+1j -1+1j; 1-1j 1+1j] 2+2j 0 [ 1+1j -1-1j; -1-1j 1+1j] 2+2j 0 [ 1+1j 1+1j; 1-1j 1-1j] 2 0 [ 1+1j 1-1j; 1+1j 1-1j] 2 0 [ 1+1j -1+1j; -1-1j 1-1j] 2 0 [ 1+1j -1-1j; -1+1j 1-1j] 2 0 [ 1+1j 1+1j; -1+1j -1+1j] 2j 0 [ 1+1j 1-1j; -1-1j -1+1j] 2j 0 [ 1+1j -1+1j; 1+1j -1+1j] 2j 0 [ 1+1j -1-1j; 1-1j -1+1j] 2j 0 [ 1-1j 1 ; 0 0 ] 1-j 0 [ 1-1j -1 ; 0 0 ] 1-j 0 [ 1-1j 1j; 0 0 ] 1-j 0 [ 1-1j -1j; 0 0 ] 1-j 0 [ 1-1j 1+1j; 0 0 ] 1-j 0 [ 1-1j 1-1j; 0 0 ] 1-j 0 [ 1-1j -1+1j; 0 0 ] 1-j 0 [ 1-1j -1-1j; 0 0 ] 1-j 0 [ 1-1j 1 ; 1-1j 1 ] 2-j 0 [ 1-1j -1 ; -1+1j 1 ] 2-j 0 [ 1-1j 1j; -1-1j 1 ] 2-j 0 [ 1-1j -1j; 1+1j 1 ] 2-j 0 [ 1-1j 1+1j; -1j 1 ] 2-j 0 [ 1-1j 1-1j; 1 1 ] 2-j 0 [ 1-1j -1+1j; -1 1 ] 2-j 0 [ 1-1j -1-1j; 1j 1 ] 2-j 0 [ 1-1j 1 ; -1+1j -1 ] -j 0 [ 1-1j -1 ; 1-1j -1 ] -j 0 [ 1-1j 1j; 1+1j -1 ] -j 0 [ 1-1j -1j; -1-1j -1 ] -j 0 [ 1-1j 1+1j; 1j -1 ] -j 0 [ 1-1j 1-1j; -1 -1 ] -j 0 [ 1-1j -1+1j; 1 -1 ] -j 0 [ 1-1j -1-1j; -1j -1 ] -j 0 [ 1-1j 1 ; 1+1j 1j] 1 0 [ 1-1j -1 ; -1-1j 1j] 1 0 [ 1-1j 1j; 1-1j 1j] 1 0 [ 1-1j -1j; -1+1j 1j] 1 0 [ 1-1j 1+1j; 1 1j] 1 0 [ 1-1j 1-1j; 1j 1j] 1 0 [ 1-1j -1+1j; -1j 1j] 1 0 [ 1-1j -1-1j; -1 1j] 1 0 [ 1-1j 1 ; -1-1j -1j] 1-2j 0 [ 1-1j -1 ; 1+1j -1j] 1-2j 0 [ 1-1j 1j; -1+1j -1j] 1-2j 0 [ 1-1j -1j; 1-1j -1j] 1-2j 0 [ 1-1j 1+1j; -1 -1j] 1-2j 0 [ 1-1j 1-1j; -1j -1j] 1-2j 0 [ 1-1j -1+1j; 1j -1j] 1-2j 0 [ 1-1j -1-1j; 1 -1j] 1-2j 0 [ 1-1j 1+1j; 1-1j 1+1j] 2 0 [ 1-1j 1-1j; 1+1j 1+1j] 2 0 [ 1-1j -1+1j; -1-1j 1+1j] 2 0 [ 1-1j -1-1j; -1+1j 1+1j] 2 0 [ 1-1j 1+1j; -1-1j 1-1j] 2-2j 0 [ 1-1j 1-1j; 1-1j 1-1j] 2-2j 0 [ 1-1j -1+1j; -1+1j 1-1j] 2-2j 0 [ 1-1j -1-1j; 1+1j 1-1j] 2-2j 0 [ 1-1j 1+1j; -1+1j -1-1j] -2j 0 [ 1-1j 1-1j; -1-1j -1-1j] -2j 0 [ 1-1j -1+1j; 1+1j -1-1j] -2j 0 [ 1-1j -1-1j; 1-1j -1-1j] -2j 0
[ 1+2j -1+2j; -2+1j -2-1j] -1+j 0 [ 1-2j -2+2j; -2-1j 2+2j] 3 0 [-1 -1 ; -2+1j -2+1j] -3+j 0 [ 1 1j; -2-2j 2-2j] 3-2j 0 [-2-1j -1+2j; 2-2j -2-2j] -4-3j 0 [ -2j -2j; 2 2 ] 2-2j 0 [ 2 2-2j; -2 -2+2j] 2j 0 [-1 -1-1j; -2j 2-2j] 1-2j 0 [ -2j -1+1j; -2+2j 2 ] 2-2j 0 [-2-2j 2+1j; 2-2j -1+2j] -3 0 [ 1j -1j; -2-1j 2+1j] 2+2j 0 [ 2 2j; -2+2j -2-2j] -2j 0 [ 1-2j -1+2j; -2 2 ] 3-2j 0 [-2-1j 2+1j; 1+2j -1-2j] -3-3j 0 [-2+2j -2j; -2 1-1j] -1+j 0 [ 2-1j -2+1j; -2-1j 2+1j] 4 0
[ 1-2j 1-2j; -3+1j -3+1j] -2-j 0 [-3+1j -3-2j; -1-3j 2-3j] -1-2j 0 [ -3j 3 ; -3-1j 1-3j] 1-6j 0 [ 3+3j -3+3j; -1+1j -1-1j] 2+2j 0 [ 3j 3j; -1j -1j] 2j 0 [ 3+3j -3 ; -2j 1+1j] 4+4j 0 [-1+2j -3 ; -1-3j 3-3j] 2-j 0
[-2+4j -3-4j; 4+2j -4+3j] -6+7j 0 [ 4+4j -4-2j; -2+2j 1-2j] 5+2j 0
[ 5+2j -5-2j; -2+5j 2-5j] 7-3j 0 [ 2-4j -2+4j; -5-1j 5+1j] 7-3j 0 [-3-1j -1+3j; 5+5j 5-5j] 2-6j 0
Douglas Wilhelm Harder
Department of Electrical and Computer Engineering
University of Waterloo
200 University Avenue West
Waterloo, Ontario, Canada N2L 3G1
Department of Electrical and Computer Engineering
University of Waterloo
200 University Avenue West
Waterloo, Ontario, Canada N2L 3G1
Website maintained by Douglas Wilhelm Harder