Answered: Answer the following matrix through…

Advanced Engineering Mathematics

10th Edition

ISBN:9780470458365

Author:Erwin Kreyszig

Publisher:Erwin Kreyszig

Chapter2: Second-order Linear Odes

Section: Chapter Questions

Problem 1RQ

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Initiate a 3X3 matrix A. A = Here all the cell values should be randomly selected by you. Now calculate the inverse matrix A1using LU decomposition method. Show the full calculation.
Find an elementary matrix E that corresponds to the row operation of adding – 4 times Row 1 to Row 2. E
Suppose in a scatterplot matrix, you observe that all of the scatterplots associated with the explanatory variables show a strong linear relationship. There are three explanatory variables in the model. Of the following, which is the most valid to do? Remove the response variable. Remove only one of the explanatory variables and keep only two. Remove all of the explanatory variables because they are linearly related to each other and therefore explain the same thing. Remove exactly two of the explanatory variables because they are all linearly related to each other and therefore explain the same thing. We only need to keep one in the model.
If the rows of an mxn matrix A are linearly independent and Ax=b is consistent then it has unique solution. Select one: O True O False

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Answer the following matrix through Jacobi Iteration Method. consider the equation if it is diagonally dominant matrix. The tolerance is 0.000001