Evaluate |A|, where A is the 76 × 76 matrix: 1 2 3 4 76 ... 2 3 4 76 ... 0 3 4 76 ... A = 0 0 4 76 ... :: : 0 0 0 0 76 ... Note: The syntax for factorial is just x! ...

Elementary Linear Algebra (MindTap Course List)
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ISBN:9781305658004
Author:Ron Larson
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Chapter2: Matrices
Section2.CR: Review Exercises
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Evaluate |A|, where A is the 76 x 76 matrix:
1 2
3 4
76
...
0 2 3
4
76
...
0 0
3 4
76
...
A
0 0 0
4
76
...
0 0 0 0
76
...
Note: The syntax for factorial is just x!
...
...
Transcribed Image Text:Evaluate |A|, where A is the 76 x 76 matrix: 1 2 3 4 76 ... 0 2 3 4 76 ... 0 0 3 4 76 ... A 0 0 0 4 76 ... 0 0 0 0 76 ... Note: The syntax for factorial is just x! ... ...
In special relativity, space-time coordinates in different reference frames moving at constant velocity with respect to one another are related by matrices of
the form
cosh a
- sinh a
0 0
- sinh a
cosh a
L =
1
1
where a is a parameter depending on the relative velocity of the two frames. Calculate L and L-. (To simplify the notation, use c and s to stand for
cosh a and sinh a, respectively.
Transcribed Image Text:In special relativity, space-time coordinates in different reference frames moving at constant velocity with respect to one another are related by matrices of the form cosh a - sinh a 0 0 - sinh a cosh a L = 1 1 where a is a parameter depending on the relative velocity of the two frames. Calculate L and L-. (To simplify the notation, use c and s to stand for cosh a and sinh a, respectively.
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