Which of the following is correct?

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.

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