Question

If A is a matrix of order 3 x 2, then its determinant
O a. will be one
O b. will be positive
O c. will be zero
O d. will not exist​

Answer 1

If A is a matrix of order 3 x 2, then its determinant will not exist.

(option d).

To Find:

We have to find the determinant of matrix A with an order of 3 × 2.

Solution:

In matrix A, the order is 3 × 2.

i.e,

Let,

The total number of rows, m=3

The total number of columns, n=2.

We know that there will be no determinant if the rows are greater than the number of columns.

A matrix needs to be at least a square matrix to find the determinant.

For the given matrix A,

m>n

Hence, the determinant of A will not exist.

#SPJ2