Question 12
Suppose $A$ is a singular matrix of order $n$ with complex entries, all of which having absolute value equal to $1$.
a. Let $n = 3$. Show that two lines or two columns of the matrix $A$ are proportional.
b. Find, with proof, if the above claim holds for $n = 4$.
a. Let $n = 3$. Show that two lines or two columns of the matrix $A$ are proportional.
b. Find, with proof, if the above claim holds for $n = 4$.