There is no easy way to find the determinant; it's long and tedious. There are computer programs available (like MATLAB) that will find the determinant. You'll find there probably won't be a large matrix in an exam if you're required to find the determinant.
A determinant is defined only for square matrices, so a 2x3 matrix does not have a determinant.Determinants are defined only for square matrices, so a 2x3 matrix does not have a determinant.
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.
In theory, a 2x2 determinant requires the evaluation of 2 products, a 3x3 determinant requires 6 products, a 4x4 determinant requires 24 products (note: that is the factorial function). The Rule of Sarrus is just a convenient memory aid for this specific case.
In Algebra, the word determinant is a special number which is associated to any square matrix. Like for example, a rectangular array of numbers where the finite number of rows and columns are equal. Therefore, the meaning of a determinant is a scale factor for measuring wherever the matrix is regarded.
For a matrix A, A is read as determinant of A and not, as modulus of A. ... sum of two or more elements, then the given determinant can be expressed as the sum
The determinant of test is usually a scalar quantity. The determinant of a matrix is used to test whether a given matrix has an inverse or not. It is used to test for the linear dependence of the vectors.
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The determinant will change sign.
The determinant is only defined for square matrices.
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0 or 1