Use a software program or a graphing utility with matrix capabilities to find the transition matrix from B to B' B=left{(1,2,7),(-1,2,0),(2,4,0)right} , B'=left{(0,2,1),(-2,1,0),(1,1,1)right}

remolatg 2020-11-24 Answered
Use a software program or a graphing utility with matrix capabilities to find the transition matrix from B to B
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Expert Answer

Clara Reese
Answered 2020-11-25 Author has 120 answers

Step 1
Consider the given matrices:
B={(1,2,7),(1,2,0),(2,4,0)},B={(0,2,1),(2,1,0),(1,1,1)}
The objective is to find the transition matrix from B to B′.
Step 2
Consider the given matrices:
B={(1,2,7),(1,2,0),(2,4,0)},B={(0,2,1),(2,1,0),(1,1,1)}
Now,
[B|B]=[021112211224101700]
Now, reducing it into Echelon’s form:
Interchange the first row and second row:
[B|B]=[211224021112101700]
Multiplying the first row by 12
[B|B]=[11212112021112101700]
Add -1 times the first row to the third row:
[B|B]=[1121211202111201212612]
Multiply the second row by 12
[B|B]=[1121211201121212101212612]
Add 12-times the second row to the third row:
[B|B]=[1121211201121212100142343454]
Multiply the third row by 4 and add 12-times the third row to the second row:
[B|B]=[1121211201011160012335]
Add -12 times the third row to the first row:

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Jeffrey Jordon
Answered 2022-01-24 Author has 2087 answers

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