Question 63
The source describes an “$A$-order” ($n\gt1$) noninvertible square matrix. All entries of $A$ are complex numbers of modulus one.
a) Prove that if $n=3$, then two rows or two columns of $A$ are proportional.
b) Does this property remain true for $n=4$?
a) Prove that if $n=3$, then two rows or two columns of $A$ are proportional.
b) Does this property remain true for $n=4$?