True or false: a. A product of two self-adjoint matrices is self-adjoint.
b. If A is self-adjoint, then Ak is self-adjoint.

Justify your conclusions

Option a is "False".

Option b is "True".

Step-by-step explanation:

In point a:

Prove AB=BA

Solve L.H.S part:

Solve R.H.S part:

So,

In point b:

if it holds the trivially

by assuming that if it is true for

that is

use above equations

that's why it is true.

i think is 3 and 6. this took me 10 min to think.hope to and hope that my answer is brainliest.(follow me )

f(x) = - 2/3x + 5; f(5/2)

substitute 5/2 in for x:

f(5/2) = -2/3(5/2) + 5

simplify the right side:

f(5/2) = -5/3 + 5

f(5/2) = 10/3

answer:

f(5/2) = 10/3

i hope this you!