Algebra and Trigonometry (6th Edition)
6th Edition
ISBN:9780134463216
Author:Robert F. Blitzer
Publisher:Robert F. Blitzer
ChapterP: Prerequisites: Fundamental Concepts Of Algebra
Section: Chapter Questions
Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...
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Answer no. 3 only please
![Note: To use square roots, you can simply write "a^0.5".
Consider an inner product on two complex vectors as (u, v) = utv:
1)
3+i
3+i
2-i
2+i
3+i
3+i
2)
0
2-i
2+i
3+2i
1-i
1 + 2i
3 + 2i
=
3) The distance between
[3+ i]
3+i
2-i
2+i
and
4) A value of a that would allow for
3 + 2i
1-i
1 + 2i
3 + 2i
is:
3+i
a
3 + i
8-9
and
-1
2-i
a
2+i
to be orthogonal would be:](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fdef25b02-21c7-4f0b-87c4-78c9bf8df921%2Ffc6a190a-f51c-422e-b657-e9d0c4ddb760%2Fceue5hx_processed.jpeg&w=3840&q=75)
Transcribed Image Text:Note: To use square roots, you can simply write "a^0.5".
Consider an inner product on two complex vectors as (u, v) = utv:
1)
3+i
3+i
2-i
2+i
3+i
3+i
2)
0
2-i
2+i
3+2i
1-i
1 + 2i
3 + 2i
=
3) The distance between
[3+ i]
3+i
2-i
2+i
and
4) A value of a that would allow for
3 + 2i
1-i
1 + 2i
3 + 2i
is:
3+i
a
3 + i
8-9
and
-1
2-i
a
2+i
to be orthogonal would be:
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