Consider a homogeneous system of linear equations with m equations and n variables. (i) Prove that...

Consider a homogeneous system of linear equations with m equations and n variables.
1. (i) Prove that this system is consistent.
2. (ii) Prove that if m < n then the system has infinitely many solutions. Hint: Use r (the number of pivot columns) of the augmented matrix.

Expert Solution

Colby Messinger answered 2 years ago

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