How to quary (building a new matrix based on some information)

Matrix A & B are as follow. I want to create matrix C, where it includes only ID(s) available from A in B.

A = [
145654
145834
];

B = [
145654  1  1  5  1
145654  1  1  5  1
145654  1  1  5  1
145654  2  1  5  1
145654  2  1  5  1
145654  3  1  5  1
145654  3  1  5  1
145654  4  1  5  1
145654  9  1  5  1
145654  10  1  5  1
145654  10  1  5  1
145655  1  1  5  1
145655  1  1  5  1
145655  1  1  5  1
145655  1  1  5  1
145655  2  1  5  1
145655  3  1  5  1
145655  3  1  5  1
145655  4  1  5  1
145655  4  1  5  1
145655  4  1  5  1
145655  5  1  5  1
145655  7  1  5  1
145655  8  1  5  1
145655  9  1  5  1
145655  9  1  5  1
145655  10  1  5  1
145655  10  1  5  1
145655  10  1  5  1
145655  10  1  5  1
145655  10  1  5  1
145655  10  1  5  1
145834  1  1  1  6
145834  1  1  1  6
145834  2  1  1  6
145834  2  1  1  6
145834  3  1  1  6
145834  3  1  1  6
145834  4  1  1  6
145834  9  1  1  6
145834  10  1  1  6
145834  10  1  1  6
145834  10  1  1  6
145834  10  1  1  6
];

C = [
145654  1  1  5  1
145654  1  1  5  1
145654  1  1  5  1
145654  2  1  5  1
145654  2  1  5  1
145654  3  1  5  1
145654  3  1  5  1
145654  4  1  5  1
145654  9  1  5  1
145654  10  1  5  1
145654  10  1  5  1
145834  1  1  1  6
145834  1  1  1  6
145834  2  1  1  6
145834  2  1  1  6
145834  3  1  1  6
145834  3  1  1  6
145834  4  1  1  6
145834  9  1  1  6
145834  10  1  1  6
145834  10  1  1  6
145834  10  1  1  6
145834  10  1  1  6
];

And finally, I want to create matrix D, where arrays in first column of matrix C are equal only to 1:

D = [
145654  1  1  5  1
145654  1  1  5  1
145654  1  1  5  1
145834  1  1  1  6
];

Answer 1

[James Tursa]

C = B(ismember(B(:,1),A(:,1)),:);
D = C(C(:,2)==1,:);