onjugating all the entries. It is a real vector spac e of hermitian symmetric 3 × 3 matrices?

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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6. A complex n × n matrix is hermitian symmetric if its transpose is equal to the matrix one gets
by conjugating all the entries. It is a real vector space. What is the dimension over R of the
space of hermitian symmetric 3 x 3 matrices?
(a) 0
(b) 1
(c) 3
(d) 6
(e) 9
7. Which of the following types of linear transformations are always diagonalisable?
Transcribed Image Text:6. A complex n × n matrix is hermitian symmetric if its transpose is equal to the matrix one gets by conjugating all the entries. It is a real vector space. What is the dimension over R of the space of hermitian symmetric 3 x 3 matrices? (a) 0 (b) 1 (c) 3 (d) 6 (e) 9 7. Which of the following types of linear transformations are always diagonalisable?
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