Consider the following statements I. To every rectangular matrix A=[ai j] 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.

Question

Consider the following statements I. To every rectangular matrix A=[ai j] 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

Tardigrade Admin · Accepted Answer

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

Q. Consider the following statements I. To every rectangular matrix A=[aij​] 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.

Only I is true

Only II is true

Both I and II are true

Neither I nor II is true

To every square matrix A=[aij​] of order n, we can associate a number (real or complex) called determinant of the square matrix. A, where aij​=(i,j)th element of A. Determinant is a function which associates each square matrix with a unique number.

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