Circle the value that solutions of the inequality 2x - 3 < -9
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Let 
be the 
matrix whose columns are 
, and let 
be the vector whose components are the constants 
. Now consider the matrix equation
Multiplying both sides by
, we have
More explicitly, we're writing
Multiply both sides by and the left hand side can be written as
We're told that
whenever 
, so we're left with
Each of are nonzero, which means their norms are nonzero, which necessarily implies that 
, and so the vectors must necessarily be linearly independent.
Multiplying both sides by
More explicitly, we're writing
Multiply both sides by
We're told that
Each of