The following are some recommended self-assessment questions for the lesson on Linearizing the Distance Observation Equation:
The functional model in this example was of the following form:
a) What’s that form called? b) Why is it significant in geomatics networks?
Since the math behind functional models like the distance between two points is usually pretty straightforward, why do we go to the trouble of deriving their linearized forms?
a) Could one obtain the same linearized equation we did here using Taylor’s Theorem directly? i.e. without using the general form ? b) If yes, then why do we use that general form at all? c) If no, then why can’t it be done?
a) What dimensions would the misclosure vector, , be if 20 measurements had been made of the distance between the points and instead of one? b) And the dimensions in the same case of the design matrix, ?
Given the information provided in Example 6 of these notes, calculate the numerical value for the misclosure vector, .
What are the numerical values that make up the elements of the design matrix, ?
Using your results from questions 5 and 6 above, write the whole linearized equation using calculated numerical values.