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## Main Question or Discussion Point

Given the following system of equations

3x1 + ax2 = 1

ax1 + 4x2 = 0

where -pi ≤ a ≤ pi. We would like to find out the range of values of x1 and x2 that are observed as a is varied. Do this as follows:

1. Create a for loop that uses the variable a as the indexing value, varied from over the

specified range in increments of 0.2.

2. For each value of a, solve the above system by using the RREF function.

3. Also for each value of a, plot the values of x1 and x2 against the corresponding value of a

for each loop iteration (i.e. the coordinate pairs (a,x1) and (a,x2)). Include a legend in

your final plot! See MATLAB help for more details.

4. From the plot, determine the range of values for x1 and x2. You may use the data cursor

tool to pick off values from the plot.

I understand and have completed step 1. However I don't know how to assign each new a to a variable that can be plugged into the matrix for step 2. Right now my for loop looks like:

i=0.2;

for a=-1*pi:i:pi,

a

end

3x1 + ax2 = 1

ax1 + 4x2 = 0

where -pi ≤ a ≤ pi. We would like to find out the range of values of x1 and x2 that are observed as a is varied. Do this as follows:

1. Create a for loop that uses the variable a as the indexing value, varied from over the

specified range in increments of 0.2.

2. For each value of a, solve the above system by using the RREF function.

3. Also for each value of a, plot the values of x1 and x2 against the corresponding value of a

for each loop iteration (i.e. the coordinate pairs (a,x1) and (a,x2)). Include a legend in

your final plot! See MATLAB help for more details.

4. From the plot, determine the range of values for x1 and x2. You may use the data cursor

tool to pick off values from the plot.

I understand and have completed step 1. However I don't know how to assign each new a to a variable that can be plugged into the matrix for step 2. Right now my for loop looks like:

i=0.2;

for a=-1*pi:i:pi,

a

end