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A solution was found as shown next.
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):
SG49A.book Page 11 Friday, September 16, 2005 1:31 PM