For each of the following statements, prove that it is true or give an example to show it is false. throughout, a e gm x r n unless otherwise indicated, and "ew" stands for eigenvalue. (this comes from the german "eigenwert." the corresponding abbreviation for eigenvector is "ev," from "eigenvektor." )

( a ) i f x i s a n e w o f a a n d p ~ c , t h e n x - p i s a n e w o f a - p i .
(b) if a is real and x is an ew of a, then so is -a.
(c) if a is real and x is an ew of a, then so is 5; .
(d) if x is an ew of a and a is nonsingular, then a-i is an ew of a-'.
(e) if all the ew's of a are zero, then a = 0.
(f) if a is hermitian and x is an ew of a, then ixi is a singular value of a.
(g) if a is diagonalizable and all its ew's are equal, then a is diagonal

answer: the answer is (b) amie should have multiplied

step-by-step explanation: given a sphere and a cylinder with same radius and height.

let, 'r' be the radius of the cylinder and sphere and 'h' be the height of the cylinder. according to the question,

r = h.

now, the volume of the sphere will be

and the volume of the cylinder will be

therefore, we have

thus, ammie should have multiplied the volume of the sphere

i think the answer is seven, for if i'm being useless °ω°

step-by-step explanation:

idkidkdidkdkdidkx

step-by-step explanation:

nndncnd cnn

snddnd

the degrees would remain the same ( the number to the left of the decimal point.

the multiply the decimal by 60 to get the minutes and use the numbers to the left of the decimal point.

then multiply the decimal portion of that by 60 for the seconds and round off as needed.

39 .956652

the 39 remains the degrees.

the minutes = 0.956652 x 60 = 57.39912

the minutes = 57

the seconds = 0.39912 x 60 = 23.95 = 24 ( rounded to nearest tenth)

so 39.956652 = 39 degrees, 57 minutes and 24 seconds

-75.159809

the -75 remains the degrees

the minutes = 0.159809 x 60 = 9.58854

the minutes = 9

the seconds = 0.58854 x 60 = 35.31, rounded to nearest tenth = 35.3 seconds

so -75.159809 = -75 degrees, 9 minutes and 35.3 seconds.

the first coordinate is north or south, since it it positive it is north.

the second number is east or west, because it is negative it is west.

39 degrees, 57 minutes and 24 seconds n

-75 degrees, 9 minutes and 35.3 seconds w