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What is the determinant of a 2x3 matrix?
The determinant function is only defined for an nxn (i.e. square) matrix. So by definition of the determinant it would not exist for a 2x3 matrix.
Does every matrix have a determinate?
No, since there is no such thing as a determinate. And, in any case you were wondering about improving your spelling so as to make you questions more answerable, a non-square matrix does not have a determinant.
What does determinant mean in math?
That's a special calculation done on square matrices - for example, on a 2 x 2 matrix, or on a 3 x 3 matrix. For details, see the Wikipedia article on "Determinant".
How do you figure out whether a matrix has a determinant?
Any n x n (square) matrix have a determinate. If it's not a square matrix, we don't have a determinate, or rather we don't care about the determinate since it can't be invertible.
When is a square matrix said to be diagonisable?
When its determinant is non-zero. or When it is a linear transform of the identity matrix. or When its rows are independent. or When its columns are independent. These are equivalent statements.
