Question

Is it possible to find the determinant of a 2x3 matrix?

Answer 1

Determinants are defined for square matrices, and that definition doesn't apply to non-squares like 2x3. You can compute the rank of any matrix to see if its rows are linearly independent.

Answer 2

No it is not possible to find the determinant of a 2 × 3 matrix

Given : A matrix of order 2 × 3

To find : To check is it possible to find the determinant of the matrix

Solution :

Step 1 of 3 :

Define square matrix

A system of mn numbers arranged in a rectangular formation along M rows and n columns and bounded by the brackets is called m by n matrix which is written as m × n matrix.

A Matrix having n rows and n columns is called a square matrix of order n

Step 2 of 3 :

Define determinant

For a square matrix matrix A of order n, we can associate a number called determinant of the matrix A, written as det A, where aij is the (i, j)th element of A.

Step 3 of 3 :

Check whether determinant exists

The matrix is of order 2 × 3

Number of rows = 2

Number of columns = 3

Since number of rows and number of columns are not equal

So the matrix is not a square matrix

So it is not possible to find the determinant of a 2 × 3 matrix

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