Section 12: Calculating with Matrices 159
Silas’ deliveries were:
Week
1 2 3
Cabbage (kg)
186 141 215
Broccoli (kg)
88 92 116
Calculating the Residual
The HP 15c enables you to calculate the residual, that is, the matrix
Residual = R − YX
where R is the result matrix and X and Y are the matrices specified in the
X- and Y-registers.
This capability is useful, for example, in doing iterative refinement on the
solution of a system of equations and for linear regression problems. For
example, if C is a possible solution for AX = B, then B − AC indicates how
well this solution satisfies the equation. (Refer to the HP 15c Advanced
Functions Handbook for information about iterative refinement and
linear regression.)
The residual function (> 6) uses the current contents of the result
matrix and the matrices specified in the X- and Y-registers to calculate the
residual defined above. The residual is stored in the result matrix,
replacing the original result matrix. A matrix specified in the X- or Y-
register can not be the result matrix.
Using > 6 rather than * and - gives a result with improved
accuracy, particularly if the residual is small compared to the matrices
being subtracted.
To calculate the residual:
1. Enter the descriptor of the Y matrix into the Y-register.
2. Enter the descriptor of the X matrix into the X-register,
3. Designate the R matrix as the result matrix.
4. Press ´ > 6. The residual replaces the original result
matrix (R). The descriptor of the result matrix is placed in the X-
register.
To Next Page
Loading...
Need help?
General
