Python programme that calculates the eigenvalues and eigenvectors of a matrix using the numpy linalg package. As illustrated in the code below, it returns the eigenvalues and eigenvectors as one eigenvector per column of a matrix. The matrix A's eigenvalues are contained in the vector w, and the matrix V has one eigenvector per column. Eigenvalues for the given matrix A are 2, 1, and 4, and we can see that the determinant of A is equal to the product of these values and the trace of A is equal to the sum of these values.

Wtite a C Program to find subtraction of two matrices.

Please solve the following problem in C++ and do not use vectors or while(true) make sure there is a condition in the while loop. Make the solution simple and do not use too advanced concepts. Given a hotel with 30 floors numbered 1-30 and up to 100 rooms per floor so that the lower 2 digits are the room number and upper digits are the floor number (e.g. room 1899 is the 99th room on the 18th floor), take reservation inputs that consist of pairs integers that represent the number of nights and a room number (each on a separate line) and terminated by "0 0", and output: (a) the average duration (number of nights) of a reservation (b) the floor number (1-30) that had the most reservations. If there is a tie for the floor with the most reservations, you may output ANY one of the floors that tied. For error checking of input values, ignore any input that has an illegal room number (i.e. above 3099 or below 100) or an input that has a negative number of nights for the reservation. Instead,…

The following equation can be used to compute values of y as a function of x: y=be¯ªsin(bx) (0.0012x¹ −0.15x³ +0.075x² +2.5x) where a and b are parameters. (a) Write Python code to compute a vector y for a = 2, b = 5, and x as a vector with values from 0 to π/2 in increments Ax= π/40. (b) Compute the vector z = y² with element-by-element-wise operations. (c) Combine x, y, and zinto a 3-column matrix W.(Hint use np. hstack function) (d) Generate a plot of y and z versus x. Include a title, axis labels, and a legend. For the y versus x curve, format a solid blue line. For the z versus x curve, choose a magenta dashed line. Include grid lines.