The augmented matrices that follow are in row echelon form. For each case, indicate whether the corresponding linear system is consistent. If the system has a unique solution, find it. (a) ( 1 2 4 0 1 3 0 0 1) (b) ( 1 3 1 0 1 -1 0 0 0) (c) ( 1 -2 4 1 0 0 1 3 0 0 0 0) (d) ( 1 -2 2 -2 0 1 -1 3 0 0 1 2) (e) ( 1 3 2

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The classical way to invert a matrix A in a basic linear algebra course augments A by the n ×n identity matrix I and applies the Gauss-Jordan algorithm of Exercise 2 to this augmented matrix (including the solution part, i.e., the division by the pivots .ak k^(n-1)). Then A^-1 shows up where I initially was. How many floating point operations are required for this method? Compare this to the operation count of (8)/(3) n^3+𝒪(n^2) required for the same task using LU decomposition (see Example 5.5

in exercises 49 and 50assume matrix representation matrix of system that the matrix is the augmented the number of ohalineaer equations and detenbise ahd rind the eq uations end the number o 68075

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