Applying Cramers rule to find X1s yields Find the transfer f

Applying Cramer\'s rule to find X₁(s) yields:

Find the transfer function X₁(s)/F(s) using matlab symbolic tools.

Applying Cramer\'s rule to find X1(s) yields: X_1(s) = |0 -(3s + 5) F(s) (2s^2 + 5s = 5)|/|(s^2 + 6s + 9) -(3s + 5) -(3s + 5) (2s^2 + 5s + 5) Find the transfer function X1(s)/F(s) using matlab symbolic tools.

Solution

it depends on where you took your last Algebra class.

First, I need to tell you about determinants. We\'ll be using these to solve systems.

Say you\'ve got a 2 x 2:

x - 3y = 4

5x + 7y = 8

We can make something called a \"coefficient matrix\":

a coefficient matrix ... [ top row: 1 , -3 bottom row: 5 , 7 ]

A matrix is just a grid of numbers with brackets around them. (Remember that a coefficient is the number in front of the variable... x = 1x, so the coefficient is 1.) (We\'ll learn more about these matrix things in the next chapter.)

We\'ve got rows and columns of the matrix:

[ top row: 1 , -3 bottom row: 5 , 7 ] ... row 1 = 1 , -3 ... row 2 = 5 , 7 ... column 1 = 1 , 5 ... column 2 = -3 , 7