Write the augmented matrix for the given system of equations an... | Filo

The augmented matrix for a linear system is given in which the asterisk represents an unspecified real number. Determine whether the system is consistent, and if so whether the solution is unique. Answer "inconclusive" if there is not enough information to make a decision. (a) [ 1 * * * 0 1 * * 0 0 1 1] (b) [ 1 0 0 * 1 0 * * 1 *] (c) [ 1 0 0 0 1 0 0 1 1 * *

Augmented Matrix | Definition, Form & Examples

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