/*This function will return the determinant of any two dimensional matrix. For this particular function a two dimensional double matrix needs to be passed as arguments - Avishek Ghosh*/
public double determinant(double[][] mat) {
double result = 0;
if(mat.length 2) {
result = mat[0][0] * mat[1][1] - mat[0][1] * mat[1][0];
return result;
}
for(int i = 0; i < mat[0].length; i++) {
double temp[][] = new double[mat.length - 1][mat[0].length - 1];
for(int j = 1; j < mat.length; j++) {
System.arraycopy(mat[j], 0, temp[j-1], 0, i);
System.arraycopy(mat[j], i+1, temp[j-1], i, mat[0].length-i-1);
}
result += mat[0][i] * Math.pow(-1, i) * determinant(temp);
}
return result;
}
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.
Yes, every square matrix has a determinant. The determinant is a scalar value that can be computed from the elements of the matrix and provides important information about the matrix, such as whether it is invertible. For an ( n \times n ) matrix, the determinant can be calculated using various methods, including cofactor expansion or row reduction. However, the determinant may be zero, indicating that the matrix is singular and not invertible.
1
0 or 1
No.
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.
To find the determinant of a matrix on a Casio fx-991MS calculator, you first need to enter the matrix into the calculator using the matrix mode. Then, navigate to the matrix menu and select the matrix you want to find the determinant of. Finally, choose the option to calculate the determinant, and the calculator will display the result. Remember that the determinant of a matrix is a scalar value that represents certain properties of the matrix.
Yes, every square matrix has a determinant. The determinant is a scalar value that can be computed from the elements of the matrix and provides important information about the matrix, such as whether it is invertible. For an ( n \times n ) matrix, the determinant can be calculated using various methods, including cofactor expansion or row reduction. However, the determinant may be zero, indicating that the matrix is singular and not invertible.
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.
1
The determinant will change sign.
233
0 or 1
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No. A square matrix has an inverse if and only if its determinant is nonzero.