a) Check whether the forms 2x
2
+ 3y
2
+ 5z
2
4xz 6yz and 4x
2
+ 3y
2
+ z
2
6xy 2xz
are orthogonally equivalent. (3)
b) Use Gram-Schmidt orthogonalisation process to find an orthonormal basis for the
subspace of C
4
generated by the vectors (1; i; 0; i), ( i; 0; 1; 2) and (0; i; 1; 1). (5)
c) Which of the following matrices are Hermitian and which are Unitary? Justify your
answer. (4)
A =
2
4
1 i 0
i 1 1 i
0 1 + i 2
3
5
; B =
2
4
1
p
2
0
1
p
2
0 1 0
p
2i 0
p
2i
3
5
The answer to the question is available in the PDF file https://www.assignmentexpert.com/https://www.assignmentexpert.com/homework-answers/engineering-answer-46093.pdf
Finding a professional expert in "partial differential equations" in the advanced level is difficult.
You can find this expert in "Assignmentexpert.com" with confidence.
Exceptional experts! I appreciate your help. God bless you!
Comments
Leave a comment