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Consider the discretized square plate in Figure 1

Figure 1: Discretized Square Plate

1. Write a system of linear equations for this system and clearly identify the matrix A in the matrix equation Ax=b.

2. Compute the determinant of A.

3. Compute the classical adjoint matrix (i.e., the adjugate matrix) of A.

4. Using your answers from problems 2 and 3, solve for A-1 and x.

5. Use Cramer’s rule to check your answer by solving for just x1 and x4.

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Lelia Lubowitz
Lelia LubowitzLv2
21 Jul 2019

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