HP 49g manual Solution with the inverse matrix, Solution by division of matrices

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.

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