The vector space

The generator matrix of a code is given as

G   =  

(a) How many data-words can be encoded using this generator matrix?

(b) What is the dimension of the vector space from which this code is constructed?

(c) What is the dimension of code?

                (d) How many vectors are available in the vector space from which this code is generated?

(e) How many code-words are available in this code?

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