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Previous Matlab

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24 views1 page

Previous Matlab

Uploaded by

milo
Copyright
© © All Rights Reserved
We take content rights seriously. If you suspect this is your content, claim it here.
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Consider the matrices

[ ] [ ] []
1 2 3 1 1 1 1
A= 1 1 1 B= 1 1 0 C= 0
1 0 0 1 2 0 and 1

1) Write A , B and C in Matlab.


(HINT: A= [1 2 3; 1 1 1; 1 0 0])

2) Find det ( A ) and tr ( A ) .


(HINT: use the commands det ( A ) and sum(diag( A ))

3) Find rref ( A ) .

4) Find the inverse and the transpose of A .


(HINT: use the command inv( A ) and A ' )

5) Find A+B , AB , AC .
(HINT: use A∗B )

100
6) Find A .
^)
(HINT: use A 100

7) Find the adjoint of A .


(HINT: use the command adjo int ( A )

8) Solve the system det ( A )

(HINT: use the command X =linsolve( A , C ) )

T −1
9) Check the formula ( A ) =( A −1 )T .

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