## An Underdetermined Set

An Underdetermined Set Show that the following set does not have a unique solution. How many of the unknowns will be undetermined? Interpret the results given by the left-division method. 2x ~ 4y +Sz = -4 4x – 2y +3z = 4 2x +6y – Sz = 0 • Solution A MATLAB...

## A Set Having a Unique Solution

A Set Having a Unique Solution Determine whether the following set has a unique solution, and if so, find it: 3x – 2y + 8z = 48 – -6x+5y+i=-12 9x + 4y + 2z = 24 ans = 3 »rank ([A b)) ans 3 »x A\b x 2 -1 5 Because A and [A b] have the same rank, a solution...

## The Matrix Inverse Method

The Matrix Inverse Method Solve the following equations using the matrix inverse: 2x +9y = 5 3x – 4y:;:: 7

## Calculation of Cable Tension

Calculation of Cable Tension A mass m is suspended by three cables attached at the three points B, C, and D, as shown in Figure 6.2-2; Let TI’ T2, and T3 be the tensions in the three cables AB, AC, and AD. respectively. If the mass m is stationary, the sum of...

## Ethanol Production

Ethanol Production Engineers in The food chemical industries use fermentation in many processes. The following equation describes Baker’s yeast fermentation. a (C6 HI 206) + b (02) + c (NH3) – C6 HI ON 03 + d (H 20) + e (C 02) + f (C 2 H 60) The variables...

## An Electrical-Resistance Network

An Electrical-Resistance Network The circuit shown in Figure 6.2-1 has five resistances and two applied voltages. Assuming that the positive directions of current flow are in the directions shown in the figure, Kirchhoff’s voltage law applied to each loop in the...