The (m 1) (m 1) matrices A and B given by A = 1 + 2 0 ............... ............ . .
Chapter 9, Problem 23(choose chapter or problem)
The (m 1) (m 1) matrices A and B given by A = 1 + 2 0 ............... ............ . . . . . . . . . 0 2 ....................... 1 + ....................... 2.............. . . . . . . . . . 0 ................ 0 2 0 .............0 2 1 + and B = 1 + 2 0 ............... ............ . . . . . . . . . 0 2 ....................... 1 + ....................... 2 .............. . . . . . . . . . 0 ................ 0 2 0 .............0 2 1 + are involved in the Crank-Nicolson method to solve the heat equation (see Section 12.2). With m = 11, approximate (A1B) for each of the following. a. = 1 4 b. = 1 2 c. = 3 4
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