矩阵扩充问题是在某种约束条件下构造矩阵A，使得矩阵A的一个子矩阵为A_0。
The matrix extension problem is, under some constrained conditions, constructing a matrix A with a given matrix A_0 as its submatrix.
首先讨论子阵约束下实矩阵反问题的最小二乘问题，给出了解的一般表达式。
Least-squares problem of the real matrices is discussed and the expression of general solution is given.
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