An n × n banded coefficient matrix with l subdiagonals and m superdiagonals can be store...

An n × n banded coefficient matrix with l subdiagonals and m superdiagonals can be stored in banded storage mode in an n × (l + m + 1) array. The matrix is stored with the rowand diagonal structure preserved with almost all 0 elements unstored. If the original n×n banded matrix had the form shown in the figure, then the n×(l+m+1) array in banded storage mode would be as shown. The main diagonal would be the l + 1st column of the new array. Write and test a procedure for solving a linear system with the coefficient matrix stored in banded storage mode.