<em /><u><em /></u>I think that both lines will show only 1 line because 1 line will be on top of the other. I believe this because both lines are dilated with its center at point O which does not lie on line n. Whatever dilation Andre uses may also be the dilation used by Becca since their lines centered at point O. Both lines will have the same slope and share the same coordinates.
A. False. Consider the identity matrix, which is diagonalizable (it's already diagonal) but all its eigenvalues are the same (1).
b. True. Suppose
is the matrix of the eigenvectors of
, and
is the diagonal matrix of the eigenvalues of
:
Then
In other words, the columns of
are
, which are identically
, and these are the columns of
.
c. False. A counterexample is the matrix
which is nonsingular, but it has only one eigenvalue.
d. False. Consider the matrix
with eigenvalue
and eigenvector
, where
. But the matrix can't be diagonalized.
Answer:
-7/12
Step-by-step explanation:
I used my calculator
Answer:
a) 3.0779
b)2.3264
Step-by-step explanation:
Please see attachment .
Answer:
the graph of the function f(x) = −3x2 − 3x + 6 is shown. Which statements describe the graph? Select three options.
On a coordinate plane, a parabola opens down. It goes through (negative 2, 0), has a vertex at (negative 0.5, 6.75), and goes through (1, 0).
The vertex is the maximum value.
The axis of symmetry is x = negative one-half.
The domain is all real numbers.
The range is all real numbers.
The function is decreasing from (−∞, 6.75).
Step-by-step explanation: