Question 5
Let $A$ be a singular complex matrix of order $n\gt1$, all of whose entries have modulus $1$.
a) Prove that for $n=3$, two rows or two columns of $A$ are proportional.
b) Does the conclusion of the preceding part remain true for $n=4$?
a) Prove that for $n=3$, two rows or two columns of $A$ are proportional.
b) Does the conclusion of the preceding part remain true for $n=4$?