(15 Points) Solve for the following using MATLAB and confirm by hand: Given the matrices 1...

 

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(15 Points) Solve for the following using MATLAB and confirm by hand: Given the matrices 1 2 1 A 3 1 1 1 B 3 1 1 1 2 1 1 C=3 1 1 1 2 4 1 2 D 3 1 b= 0.5 0.5 2 (2.1) Use MATLAB to find (unless otherwise stated) (a) the determinant of A (b) the inverse of A (c) the rank of A (d) the inverse of A multiplied by A (e) the determinants of B, C, and D then compare these answers to (a) commenting on differences among these matrices and their determinants (refer to Theorems 1 and 2 in Section 7.7 of the book) (f) Solve Ax=b with MATLAB's linsolve function (solve for x) (15 Points) Solve for the following using MATLAB and confirm by hand: Given the matrices 1 2 1 A 3 1 1 1 B 3 1 1 1 2 1 1 C=3 1 1 1 2 4 1 2 D 3 1 b= 0.5 0.5 2 (2.1) Use MATLAB to find (unless otherwise stated) (a) the determinant of A (b) the inverse of A (c) the rank of A (d) the inverse of A multiplied by A (e) the determinants of B, C, and D then compare these answers to (a) commenting on differences among these matrices and their determinants (refer to Theorems 1 and 2 in Section 7.7 of the book) (f) Solve Ax=b with MATLAB's linsolve function (solve for x)