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In MATLAB , create a function M-file mydet.m to compute the determinant of a squ

ID: 2983854 • Letter: I

Question

In MATLAB, create a function M-file

mydet.m to compute the determinant of a square matrix using

recursion. The function should take as input a matrix

A and return its determinant d for any nxn square matrix. I need the code for MATLAB for this!

Explanation / Answer

real NMatrix_Determinant(const NMatrix *mat, integer order) { integer i = 0 ,j = 0 ,k = 0 ,l = 0; real det = 0.0; NMatrix *minor = NULL; if((mat->rows == mat->columns) && (order>=1) && (orderrows)) { if(order==1) { det = mat->data[0][0]; } else if(order==2) { det = (mat->data[0][0] * mat->data[1][1]) - (mat->data[0][1] * mat->data[1][0]); } else { for (k=0 ; kdata[0][k] * NMatrix_Determinant(minor,order-1); minor = NMatrix_Destroy(minor); } } } else { det = NAN; } return det; } Examle: #include #include"NMatrix.h" void PrintMatrix(NMatrix *mat) { integer i = 0, j = 0; for (i = 0; i rows; i++) { for (j = 0; j columns; j++) { printf("%f ", mat->data[i][j]); } putchar(' '); } putchar(' '); } int main(int argc, char *argv[]) { real det = 0; NMatrix *mat = NULL; /*Creates and initializes the matrix*/ mat = NMatrix_Create(3, 3); mat->data[0][0]=-2; mat->data[0][1]=2; mat->data[0][2]=-3; mat->data[1][0]=-1; mat->data[1][1]=1; mat->data[1][2]=3; mat->data[2][0]=2; mat->data[2][1]=0; mat->data[2][2]=-1; /*Prints the matrix*/ puts("Matrix: "); PrintMatrix(mat); /*Computes the determinant of the matrix*/ puts("Determinant of the matrix: "); det = NMatrix_Determinant(mat, 3); printf("%2.1f ", det); /*Computes the determinant of a minor*/ puts("Determinant of a minor (M33): "); det = NMatrix_Determinant(mat, 2); printf("%2.1f", det); return 0; } /*: Matrix: -2.000000 2.000000 -3.000000 -1.000000 1.000000 3.000000 2.000000 0.000000 -1.000000 Determinant of the matrix: 18.0 Determinant of a minor (M33): 0.0 */
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