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Solution with the inverse matrix
The solution to the system A⋅x = b, where A is a square matrix is
x = A
-1
⋅ b. For the example used earlier, we can find the solution in the
calculator as follows (First enter matrix A and vector b once more):
Solution by “division” of matrices
While the operation of division is not defined for matrices, we can use the
calculator’s key to “divide” vector b by matrix A to solve for x in the
matrix equation A⋅x = b. The procedure for the case of “dividing” b by A is
illustrated below for the example above.
The procedure is shown in the following screen shots (type in matrices A and
vector b once more):
References
Additional information on creating matrices, matrix operations, and matrix
applications in linear algebra is presented in Chapters 10 and 11 of the
calculator’s User’s Guide.