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Mathematics, 14.07.2020 19:01 Naysa150724
Construct a nonzero 2times2 matrix A such that the solution set of the equation Upper A Bold x equals Bold 0 is the line in set of real numbers R squared through (7,1) and the origin. Then, find a vector b in set of real numbers R squared such that the solution set of Upper A Bold x equals Bold b is not a line in set of real numbers R squared parallel to the solution set of Upper A Bold x equals Bold 0. Why does this not contradict the theorem that states that if the equation Upper A Bold x equals Bold b is consistent for some given b and p is a solution, then the solution set of Upper A Bold x equals Bold b is the set of all vectors of the form Bold w equals Bold p plus Bold v Subscript h, where Bold v Subscript h is any solution of the homogeneous equation Upper A Bold x equals Bold 0?
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Construct a nonzero 2times2 matrix A such that the solution set of the equation Upper A Bold x equal...
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