Let A be 3×3 matrix with rank 2.Then AX=0 has A. Only trivial solution X=0 B. One independent solution C. Two independent solution D. Three independent solution

The rank of a matrix is the maximum number of linearly independent rows or columns in the matrix. In this case, the rank of matrix A is given as 2. This means that there are 2 linearly independent rows or columns in the matrix.

The equation AX=0 is a homogeneous system of linear equations. For such a system, there is always at least one solution, the trivial solution X=0.

The number of independent solutions to the system is determined by the difference between the number of variables and the rank of the matrix. In this case, the matrix is 3x3, so there are 3 variables. The rank of the matrix is 2. Therefore, there is 3 - 2 = 1 independent solution to the system.

So, the correct answer is B. One independent solution.