This is my last week in Linear Algebra. I am working on our last homework assignment before the exam so I want to make sure I know what I am doing.
In each part, make a conjecture about the eigenvectors and eigenvalues of the matrix A corresponding to the given transformation by considering...
Okay. I found the determinant of this 3x3 matrix:
It is b1x + a2y + a1b1 - a2b1 - b2x - a1y
I simplified it: b1x - b2x + a2y - a1y - a1b1 - a2b1 = 0
I'm not sure if this will help, but I did this next.
b1x - b2x + a2y - a1y + C ; c = constant
a2y-a1y = C - b1x + b2x
y(a2 -...
The determinant is b1x - a2b1
a2b1 is a constant. So wait, I had that wrong. it is a straight line with a y-intercept which is some constant.
How do you say that though?
The question on my homework says:
What can you say about the graph of the equation
The following is in matrix form with determinant symbols around the matrix
x y 1...
Okay. I decided to just choose systems to look at for a few of these problems.
True 1. I found that Ax = 0 would also have infinitely many solutions.
False 2. I found that Ax=0 would also be inconsistent.
I'm not even sure where to begin with the others.
I am taking a Linear Algebra class to finish up my master's degree in math curriculum and instruction. I have been doing okay until these questions. I need some help.
True/False
1. If Ax=b has infinitely many solutions, then so does Ax=0.
2. If Ax=b is inconsistent, then Ax=0 has only...