1.4.1 Solving Equations Using Matrix Perform the following Matrix Operations for the predefined matrices. Given the System of equations: 2x + 4y - 5z + 3w = -33 3x + 5y-2z+6w = -37 x-2y + 4z - 2w = 25 3x + 5y 3z + 3w = -28 Write the systems as Ax = b, where A is the coefficient matrix and b is the vector for the constants. 1. Encode the Matrix A and the column vector b. 2. Solve for Determinant of A. 3. Find the Inverse of A. 4. Find the Eigenvalues of A. 5. Form the Reduced Row Echelon of A. My 6. Find the number of rows and number of columns of Ab. 7. Find the sum of the columns of A. 8. In each of the columns of A, find the highest values and its indices. 9. Augment A with b; 10. Determine the Rank of Ab

Q: By using python in Jupyter notebook. What is the determinant of A? A= 30 0 -4 -1 2 4 9 7 -6 2-1 5

A: Since determinants can be found only for square matrices, we can ignore the last column of matrix A…

Q: Matrix A is 3x3 matrix. Matrix B is 4x3 matrix. Which of the following matrix expressions is…

A: Ans: Matrix A is 3x3 matrix , Matrix B is 4x3 matrix , the following matrix expression that is…

Q: Using Matlab,  A=[1 2 3;4 5 6;7 8 10]; a)Create a vector version of the original matrix A.…

A: reshape is the function used for getting the matrix as vector of specified dimension The matrix will…

Q: Define a MATLAB function named printRandomColumn() that would accept a matrix of any dimension as…

A: M = [1 2 3 4 5 6 7 8;9 10 11 12 13 14 15 16;17 18 19 20 21 22 23 24;]%matrix declaration%function to…

Topological Sort

Topological sort is a sorting technique that sets up a hierarchy in a process. In this technique, when a directed network has nodes connected by arrows, the root node is placed before the successor node.