I really don't know what a unique solution is. One of the answers it gives in the answers section is k cannot equal 4, which is the restriction should there be a solution to the system, if k = 4 detA = 0. So if k=4 means the system has no unique solutions, what does it mean if it does have...
For the 2nd question, if nonuniqueness equates to there being no solution, the that is easy, k = 4, but for a unique solution, could not that be anything but for in the field of k?
this is not some independant study topic. This is from a practice booklet the teacher gave us, a question which the tacher recomnded we do. So, my current knowledge should suffice in answering this question.
What I know: -determinants
-inverses
-simple...
I know how to determine the determinant, and the inverse, and how to sovle a system with the inverse of a matrice, but I have no idea what these two questions are talking about:
1. Find the values of k for which the system
kx+2y=1
3x+(k-1)y=1
does not have a unique solution. If k does not...
I have aspirations of becoming a physicist. I absolutely love physics and pure mathematics; I am fascinated by both fields. I am only concerned with the required mathematical abilities to be able to become a competent physicist. I am not amazingly good at math, I would put myself in the lower...
I am doing a unit on such systems in math. I do not see a solution that does not involve simplifying the equation you have and solving with the equations the answers suggest and seeing which one works out.
from: http://www.math.utah.edu/~cherk/puzzles.html
I am stumped, I noticed the pattern in the digits of the numbers, but I do not see how I can link that to the possibility of forming such a statement with those numbers when n is greater than 2.
I do not quite get what principle angle angles are. Are they the smallest positive coterminal angle of an angle? Would the principle angles of:
1000 degrees be 280 degrees
-500 degrees be 220 degrees
?
Am I on the right track?
Question:
A man is looking at the top of a tower. The angle of elevation to the top of the tower is 10 degrees. 100m closer to the tower, a man has an angle of elevation to the top of the tower of 20 degrees, how tall is the tower?
My Problem:
I can solve this ver easily by recognizing...
Yes, you are almost right. Your only error was saying y could equal -1. It's
y > -1. Also, would not the horizontal asymptote be y=-1? And yes, the x-int is roughly equal to -0.63, but were I you, I would come up with n exact value for the x-into algebraically.
I was under the assumption that an asymptote was a line the function would not cross, and this function does cross the line y=0.
Incorrect, there is no problem when y is less than 1