1. Consider the following 3 x 3 matrices, [4 1 31 2 1 41 A = 0 -2 1 B = -1 3 13 3 2 5. (a) Calculate AB and BA and the commutator [A, B] and comment on the result. (b) Find the trace of each matrix


I need help with these problems. i want to see detailed steps. 

 

1. Consider the following 3 x 3 matrices,
[4
1
37
1 4]
A = |0
-2 1
B = |-1
3
13
3
2
5]
(a) Calculate AB and BA and the commutator [A, B] and comment on the result.
(b) Find the trace of each matrix
2. Set up the matrix which will perform the below transformations:
E -
4y
-VZz
to
- X
4
expand button
Transcribed Image Text:1. Consider the following 3 x 3 matrices,
[4
1
37
1 4]
A = |0
-2 1
B = |-1
3
13
3
2
5]
(a) Calculate AB and BA and the commutator [A, B] and comment on the result.
(b) Find the trace of each matrix
2. Set up the matrix which will perform the below transformations:
E –
4y
-VZz
to
– X
4
1. Consider the following 3 x 3 matrices, [4 1 31 2 1 41 A = 0 -2 1 B = -1 3 13 3 2 5. (a) Calculate AB and BA and the commutator [A, B] and comment on the result. (b) Find the trace of each matrix


I need help with these problems. i want to see detailed steps. 

 

1. Consider the following 3 x 3 matrices,
[4
1
37
1 4]
A = |0
-2 1
B = |-1
3
13
3
2
5]
(a) Calculate AB and BA and the commutator [A, B] and comment on the result.
(b) Find the trace of each matrix
2. Set up the matrix which will perform the below transformations:
E -
4y
-VZz
to
- X
4
expand button
Transcribed Image Text:1. Consider the following 3 x 3 matrices,
[4
1
37
1 4]
A = |0
-2 1
B = |-1
3
13
3
2
5]
(a) Calculate AB and BA and the commutator [A, B] and comment on the result.
(b) Find the trace of each matrix
2. Set up the matrix which will perform the below transformations:
E –
4y
-VZz
to
– X
4

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