timeforchg Posts: 19, Reputation: 1 New Member #1 Oct 27, 2011, 05:49 PM
Matrix Help
1)Given a circular matrix
$
A=\begin{bmatrix}
a& b& c\\
c& a& b\\
b& c& a
\end{bmatrix}

B=\begin{bmatrix}
e& f& g\\
g& e& f\\
f& g& e
\end{bmatrix}

$

1) Show that C=AB is also a cicular matrix. Write the form of a circular matrix 4x4.

* I have done this part

2) Show the vector $x1= \left[1 1 1 \right ]T$ satisfy the linear equations $A x1 = \Lambda 1 x1$

*This part also has been done

3) For the vector x1 in part 2 find the corresponding value of $\Lambda1$
*I guess this part also have been solved.

Now here is my question, instead of $x1=\left[1 1 1 \right ]T$now the vector x1 is replace by $x1 = \left [1, -\frac{1}{2}+\frac{\sqrt{}3}{2}j,-\frac{1}{2}-\frac{\sqrt{}3}{2}j \right ]T$

Lets assume the value for x1 is the same for the left and right side.
How do we do part 2 and 3 if we use $x1 = \left [1, -\frac{1}{2}+\frac{\sqrt{}3}{2}j,-\frac{1}{2}-\frac{\sqrt{}3}{2}j \right ]T$[/QUOTE]

Check out some similar questions!

Further Matrix [ 7 Answers ]

Really helpful. :) By the way I got this question regarding matrix, If A= X1 = T (transpose) Show that the vectors satisfy the linear equation A X1 = λ1.

Matrix Question [ 1 Answers ]

Two parts to this question have answered the first part, stuck on this area on how to work out: (Note: Matrix A corresponds to a rotation of the plane through theta radians, about the origin, anticlockwise. ii) Find the matrix power A^3, and thus deduce identities for sin(3theta) and cos(3theta)....

Identity matrix [ 1 Answers ]

6x-18y-30z=-24 -3x+13y+19z=16 2x-8y-17z=-25 I need the identity matrix

 Question Tools Search this Question Search this Question: Advanced Search