11.1 Determine the matrix inversefor the following system:
10x1 +2x2 ? x3 = ?27
?3x1?6x2 +2x3 = ?61.5
x1 +x2 +5x3 =?21.5
Check your results by verifying that[A][A]-1 = [I ]. Donot use a pivoting strategy.
Calculate A^-1 using the LU decomposition ofA. Use the Matlab lu command to perform the LUdecomposition. Use the Matlab backslash operator to performintermediate linear system solutions. Use Matlab matrixmultiplication to verify that A^-1 was correctly calculated.
