Define the linear transformation using the matrix A is termed a tridiagonal matrix, since the only non-zero entries are along the main diagonal, the diagonal below, and the diagonal above.  Compute...

Define the linear transformation using the matrix

A is termed a tridiagonal matrix, since the only non-zero entries are along the main diagonal, the diagonal below, and the diagonal above.

 Compute the general product

 Propose a formula for the product
 of an tridiagonal matrix
 and an
 column vector
 Use the result of part
 to help you formulate your answer.