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

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A: Below i have answered:

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A: Here in this question we have asked to find adjoint of the given matrix.

Q: SciLab

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A:

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A: To access particular element, directly write matrixName(i,j)=value

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A: =((3*1)-(1*(-5))).....(cross way product) =(3+5) =8 Ans

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A: The MATLAB code for the following problem is given as below:

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A:

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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.