Consider a subspace V in Rm that is defined by n homogeneous linear equations:tfii*i + a

Chapter 3, Problem 34

(choose chapter or problem)

Consider a subspace V in Rm that is defined by n homogeneous linear equations:tfii*i + a 12*2 + * + a\mxm= 0 021*1 + 022*2 + + 2 m*m= 0al*i + tf/i2*2 + + anmxm = 0What is the relationship between the dimension of V and the quantity m nl State your answer as an inequality. Explain carefully.

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