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.
It’s D thanks for your question
Alex and Shaneequa pay $400 per month
1 student: $40
15 students: 40 x 15= $600= 1 week
600x4=$2,400= four weeks
$2,400-$400=$2000
Answer= $2000
Answer:
2
Step-by-step explanation:
-5 is samller because negative numbers are smaller than positive number..for an example the number line is in above.
Answer:
341°
Step-by-step explanation: