A subspace V of R" is called a hyperplane if V is defined by a homogeneous linear
Chapter 3, Problem 33(choose chapter or problem)
A subspace V of R" is called a hyperplane if V is defined by a homogeneous linear equationC\X\ + < 2 *2 + + c n x = 0 ,where at least one of the coefficients ct is nonzero. What is the dimension of a hyperplane in R ? Justify your answer carefully. What is a hyperplane in R3? What is it in R2?
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