Question: x4y32 2x +5t Question 1: . LetH = y E R4 :x,y,z andt E R zt x+3y4zt (a) Find a spanning set for H. Explain

x4y32 2x +5t Question 1: . LetH = y E R4 :x,y,z andt E R zt x+3y4zt (a) Find a spanning set for H. Explain your solution in words. ( b ) Determine if the spanning set you found in part (a) is linearly independent. Explain your solution in words. (c) Write down a basis for H. Explain your solution in words. (d) State the dimension of H. Explain your solution in words. (e) Let B be another basis for H. How many elements does 6' have? Explain your solution in words

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