Question:
Which of the following is correct?
A. Determinant is a square matrix.
B. Determinant is a number associated to a matrix.
C. Determinant is a number associated to a square matrix.
D. None of these
Solution:
Answer: C
We know that to every square matrix, $A=[a i j]$ of order $n$. We can associate a number called the determinant of square matrix $A$, where aij $=(i, j)^{\text {th }}$ element of $A$.
Thus, the determinant is a number associated to a square matrix.
Hence, the correct answer is C.