sorry had no idea how to matrices on the forum
C = ##\begin{pmatrix} 1 & 2 \\ 3 & 6 \end{pmatrix}##
A(my general matrix) = ##\begin{pmatrix} a & b \\ c & d \end{pmatrix}##
CA=0 so when I multiplied, I got
a+2c=0
b+2d=0
3a+6c=0
3b+6d=0
But two of those equations are the same and...
Homework Statement
Find a basis for the following vector space:
The set of 2x2 matrices A such that CA=0 where C is the matrix : 1 2
3 6
The Attempt at a Solution
I multiplied C by a general 2x2...
Two complex numbers are only equal if their real parts are equal and their imaginary parts are equal so you may have to equate real and imaginary parts to find the values of x and y.
Homework Statement
Find the coordinates of the stationary points on the curve:
x^3 + (3x^2)(y) -2y^3=16
Homework Equations
Stationary points occur when the first derivative of y with respect to x is equal to zero
The Attempt at a Solution
I implicitly differentiated the...
The question says that the curves touch at the points A and B so I assumed they were tangential to each other at those points. Not sure how I would prove it otherwise seeing as I only have an x value for the points.
Homework Statement
Homework Equations
Sum of roots taken one at a time is -b/a
Sum of roots taken two at a time is c/a
three at a time is -d/a
four at a time is e/a
The Attempt at a Solution
I did part one by solving the two equations...
In 1987, there was a supernova in the Large Magellanic Cloud. This is roughly 50,000 light years away from the Earth. Scientists detected light from the supernova and neutrinos from the supernova at the exact same time meaning they have the exact same velocity. This experiment used distances of...
It is a number that simply does not change and has a set, defined value. Pi, i (squareroot of -1) and e (Euler's number) are all examples of constants.