Question

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a) A=(aij)2x2 tal que aij=i²+j²

b) B=(bij)4x3 tal que bij=(i+j)²

Answer 1

a)
          |a11 a12|
A=      |a21 a22|

aij = i²+j²

a11 = 1²+1² = 1+1 = 1
a12 = 1²+2² = 1+4 = 5
a21 = 2²+1² = 4+1 = 5
a22 = 2²+2² = 4+4 = 8

b)
    |b11 b12 b13|
    |b21 b22 b23|
    |b31 b32 b33|
    |b41 b42 b43|

B=(bij)4x3 tal que bij=(i+j)²

b11 = (1+1)² = 2² = 4
b12 = (1+2)² = 3² = 9
b13 = (1+3)² = 4² = 16
b21 = (2+1)² = 3² = 9
b22 = (2+2)² = 4² = 16
b23 = (2+3)² = 5² = 25
b31 = (3+1)² = 4² = 16
b32 = (3+2)² = 5² = 25
b33 = (3+3)²= 6² = 36
b41 = (4+1)² = 5² = 25
b42 = (4+2)² = 6² = 36
b43 = (4+3)² = 7² = 49

           |4    9 16|
          |9   16 25|
 B =    |16 25 36|
          |25 36 49|