compare two vectors then insert missing element

i have a matrix :

A=[  1.000   0.5860   0.01403    
        2.500   0.7395   0.01277   
        3.500   0.8450   0.01146   
        4.000   0.8967   0.01173   
        4.500   0.9476   0.01215   
        5.000   0.9962   0.01280    
        6.000   1.0973   0.01367   
        6.500   1.1398   0.01457   
        7.000   1.1889   0.01515    
        8.000   1.2574   0.01915   
        8.500   1.2816   0.02234   
        9.500   1.3300   0.02731   
      10.500   1.3267   0.03649  ]

for the first column let say its

B=[    1.000 
          1.500 
          2.000 
          2.500 
          3.500 
          4.000 
          4.500 
          5.000 
          5.500 
          6.000 
          6.500 
          7.000 
          7.500 
          8.000 
          8.500
          9.000
          9.500 
       10.000 
       10.500] 

i want to compare A(:1) with b then insert missing rows to make A(:,1) = b , then perform interpolation for A(:,2) and A(:,3) new rows

thanks

[Chunru]

Bq = sort(union(B, A(:,1)));            % the query points are from B and A(:,1)
C = interp1(A(:, 1), A(:, 2:end), Bq);  % Interpolation
C = [Bq C];                             % The result

Answer 1

[Stephen23]

Simpler:

A=[  1.000   0.5860   0.01403    
        2.500   0.7395   0.01277   
        3.500   0.8450   0.01146   
        4.000   0.8967   0.01173   
        4.500   0.9476   0.01215   
        5.000   0.9962   0.01280    
        6.000   1.0973   0.01367   
        6.500   1.1398   0.01457   
        7.000   1.1889   0.01515    
        8.000   1.2574   0.01915   
        8.500   1.2816   0.02234   
        9.500   1.3300   0.02731   
      10.500   1.3267   0.03649  ];
B = 1:0.5:10.5;
C = interp1(A(:,1),A,B(:))

C = 20×3

1.0000 0.5860 0.0140 1.5000 0.6372 0.0136 2.0000 0.6883 0.0132 2.5000 0.7395 0.0128 3.0000 0.7923 0.0121 3.5000 0.8450 0.0115 4.0000 0.8967 0.0117 4.5000 0.9476 0.0121 5.0000 0.9962 0.0128 5.5000 1.0467 0.0132