This would be better as "find the nth element of an array." Also, a column matrix doesn't exist. Perhaps you meant column vector, though the variables in your test cases are row vectors.
Will there be a new leader?
Sum the numbers on the main diagonal
y equals x divided by 2
Square a Number
Find the last digit
Determine whether the input is divisible by 3 as well as 5
find the mean of all elements in a matrix
modulus of a number
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