Instructor key. Numeric values are generated by build_astr476_package.py from the computation module and the included source subset.
Solution 1
z=0.5: D_C=1951.387 Mpc, D_L=2927.080 Mpc, D_A=1300.925 Mpc, mu=42.3322 mag; z=1.0: D_C=3401.263 Mpc, D_L=6802.526 Mpc, D_A=1700.631 Mpc, mu=44.1634 mag; reciprocity is satisfied by construction.
Solution 2
A -0.20 mag residual implies fractional distance change approximately (ln10/5)(-0.20)=-0.0921, about -9.21% in the linear approximation; brighter means smaller inferred distance at fixed standard candle.
Solution 3
H0 rescales distances at every redshift and is degenerate with absolute magnitude/calibration in an unanchored SN Hubble diagram; relative redshift curvature carries shape information.
Solution 4
The selected data and covariance are both 18-dimensional and row aligned. Redshift stratification, small size, and absent full likelihood prevent survey-level inference.