Question

Consider the following statements
I. To every rectangular matrix $A=\left[a_{i j}\right]$ of order $n$, we can associate a number (real or complex) called determinant of $A$.
II. Determinant is a function which associates each square matrix with a unique number (real or complex).
Choose the correct option.

• A. Only I is true
• B. Only II is true
• C. Both I and II are true
• D. Neither I nor II is true

Answer 1

Answer: (B)

To every square matrix $A=\left[a_{i j}\right]$ of order $n$, we can associate a number (real or complex) called determinant of the square matrix. $A$, where $a_{i j}=(i, j)^{\text {th }}$ element of $A$.
Determinant is a function which associates each square matrix with a unique number.