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Solution Du TP02

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Solution du TP N° 02

1 3 
 
1 2 3 2  0 1 
A    , B   , C   
7 2 0 1  1 1
 
 4 8 

Partie 1

1 2 3 2  0 3 
a) A * B  3      3   
7 2 0 1  18 15

1 2 3 2 3 4  0 7


b) A .* B  3    
 3   
 3   
7 2 0 1  0 2  3 1

1 2 1 2 1 1 14 5 


c) A ^ 2 ones (2)       
7 2 7 2 1 1 20 17

1 3  0 0 2 6


     
 0 
1  3 2
  
0 0  1 2
d) C * B 1  zeros (4, 2)     1  0 0  2 
1 1 0 1     2
   
 4 8  
0 0  13
 1

1 7 1 7 1 49


e) A '. ^ 2     
2 2 2 2 4 4 

1 3   
  1 3 
0 1  1 0  0 1 
f) C *eye (2)       
1 1 0 1 1 1
   
 4 8   4 8 

1 3 1 3 1 0


g) C (1: 2,:) ^ 2     
 0 1  0 1 0 1

0 1   0 1   0 1 
     
h) C (2 : end ,:). ^ 2  1 11 1   1 1 
     
 4 8   4 8  16 64

1
Partie 2

1 2 1 3 
 
7 2 0 1 
M   
3 2 1 1
 
0 1 4 8 

1) M  [[A ; B ],C ]

2)
1 2 1 3 
 
7 2 0 1 
a) M(3,2)=3 → M   
3 3 1 1
 
0 1 4 8 

b) M(2,:)-7*M(1,:)= 7 2 0 1 - 71 2 1 3 =

0 12 7 20

2 1 3 
 
2 0 1 
c) M(:,1)=[] → M   
3 1 1
 
1 4 8 

2 1 3 
 
d) M(end,:)=[] → M  2 0 1 
 
3 1 1

 0  1 0 0 2 0 0 
2 0     
e) tril(M).*eye(3)= 2 0 0 0 1 0 → 0 0 0 

    
3 1 1 0 0 1 0 0 1

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