Question: Let B M mn(R) be such that the system Bx= e I is consistent for i= 1, . . . , m where {e 1

Let B M mn(R) be such that the system Bx= e_I is consistent for i= 1, . . . , m where {e₁, . . . , e_m} is the standard basis for R^m. Show that Bx=c is consistent for every cR^m.

where B is a matrix with dimensions m x n

c is a vector in R^m

x is a vector

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