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The following operations are defined for real and complex matrices.

- Function:
*int***gsl_matrix_add***(gsl_matrix **`a`, const gsl_matrix *`b`) This function adds the elements of matrix

`b`to the elements of matrix`a`. The result*a(i,j) \leftarrow a(i,j) + b(i,j)*is stored in`a`and`b`remains unchanged. The two matrices must have the same dimensions.

- Function:
*int***gsl_matrix_sub***(gsl_matrix **`a`, const gsl_matrix *`b`) This function subtracts the elements of matrix

`b`from the elements of matrix`a`. The result*a(i,j) \leftarrow a(i,j) - b(i,j)*is stored in`a`and`b`remains unchanged. The two matrices must have the same dimensions.

- Function:
*int***gsl_matrix_mul_elements***(gsl_matrix **`a`, const gsl_matrix *`b`) This function multiplies the elements of matrix

`a`by the elements of matrix`b`. The result*a(i,j) \leftarrow a(i,j) * b(i,j)*is stored in`a`and`b`remains unchanged. The two matrices must have the same dimensions.

- Function:
*int***gsl_matrix_div_elements***(gsl_matrix **`a`, const gsl_matrix *`b`) This function divides the elements of matrix

`a`by the elements of matrix`b`. The result*a(i,j) \leftarrow a(i,j) / b(i,j)*is stored in`a`and`b`remains unchanged. The two matrices must have the same dimensions.

- Function:
*int***gsl_matrix_scale***(gsl_matrix **`a`, const double`x`) This function multiplies the elements of matrix

`a`by the constant factor`x`. The result*a(i,j) \leftarrow x a(i,j)*is stored in`a`.

- Function:
*int***gsl_matrix_add_constant***(gsl_matrix **`a`, const double`x`) This function adds the constant value

`x`to the elements of the matrix`a`. The result*a(i,j) \leftarrow a(i,j) + x*is stored in`a`.