Suppose that A elementof Mm times nR For what relationship b

Suppose that A elementof M_m times n(R). For what relationship between m and n will it be necessarily true that Null (A) is nontrivial and the columns of A do not span R^m.

Solution

solution : given that A berwelong to Matrices of order m*n over set of real number R.

implise that Matrx A is also m*n ,where m is number of row and n is number of column .

so (b) is true a s column of A do not span R^m.