(a) Consider the linear system Ax = b with = 3 -3 3 0 2 1 -2 7 1 2 -1 5 1 2 3 2 and b = Solve the system above using the NumPy function solve.

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ASSIGNMENT: Working with Vectors Write a menu-driven program that will allow the user to run any of the following questions. Please put the functions headers in h file and the functions definitions in a .cpp file. 1. Write C++ code for a loop that simultaneously computes both the maximum and minimum element in a given vector. 2. Write a function double scalar_product(vector a, vector b) that computes the scalar product of two vectors. The scalar product of two vectors A[al, a2, a3) and B(bl, b2, b3} is another vector C given by C{c1, c2, c3} where cl = al * b1, c2 = a2 + b2, c3 = a3 + b3. 3. Write a function that computes the alternating sum of all elements in a vector. For example, if alternatingSum() is called with a vector containing 149 16 9 7 4 9 11 then it computes 1-4+9-16+9-7+4-9+11=-2 4. Write a procedure reverse that reverses the sequence of elements in a vector. For example, if reverse is called with a vector containing 1 49 16 9 7 4 9 11 then the vector is changed 11 9 4 7…

Write answer in c++

Programing C Just with #include Matrix Addition and Subtraction (Associatively) Write a program that performs matrices addition and subtraction. As shown in the example below, you have to ask the user for the number of rows and number of columns that both matrices should have (they both have to be the same size, that is why you only ask once). You will then ask the user for the values of each matrix. Then, you will print the values that the user inputted, the added values of both matrices, and the subtracted values (matrix 2 should be subtracted from matrix 1). In this challenge Guidelines/steps: • The number of rows and the number of columns should be global variables. • Once you get these two from the user, you should declare your two matrices in main. • Then, from main, you will call function aaa twice; first, you will send matrix 1 and populate it with values inputted by the user. You will call the function a second time, send matrix 2 and populate it. In other words, function aaa…

Write a program that will sort a prmiitive array of data using the following guidelines - DO NOT USE VECTORS, COLLECTIONS, SETS or any other data structures from your programming language. The codes for both the money and currency should stay the same, the main focus should be on the main file code (Programming language Java) Create a helper function called 'RecurInsSort' such that: It is a standalone function not part of any class from the prior lab or any new class you feel like creating here, Takes in the same type of parameters as any standard Insertion Sort with recursion behavior, i.e. void RecurInsSort(Currency arr[], int size) Prints out how the array looks every time a recursive step returns back to its caller The objects in the array should be Money objects added or manipulated using Currency references/pointers. It is OK to print out the array partially when returning from a particular step as long as the process of sorting is clearly demonstrated in the output. In…

4. Arrays. In order to test the functions in this question, you will need an array. We can create a three- dimensional test array as follows: testArray xijk - máx rij,k i=1 i=1 i=1 (b) Now suppose we want a function testFn2 which returns the d2 x d3 matrix {zj.k} where di Zj,k = Σ i=1