Answer:
z=re ^iθ =2e ^i 3/π
Step-by-step explanation:
hope this helps
Drawing a diagonal will create two right triangles. So you can use a^2+ b2 =c^2
So approximately 106.47 feet or the square root of 11336
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.

notice, it was pawned for only 1 month, so the "yearly" rate is for 1 month, which is 1/12 of the year, since a year has 12 moths
you'll get a rate in decimal terms, to get the % amount, just multiply it times 100