Question: Let {p',..., p}C R, where k > n. We would like to know whether span ({p, ..., p* }) = R, i.e., whether the
Let {p',..., p}C R", where k > n. We would like to know whether span ({p", ..., p* }) = R", i.e., whether the set {p', ...,p*} contains n linearly independent vectors. Show how you can solve this decision problem by solving at most n linear programming problems. You can use the following result for this: Let {q',..., q"}C R" be a basis for R". Then span ({p', q' E span ({p',..., pk }) for each j= 1, ...,n. p* }) = R" if and only if ..... Let {p',..., p}C R", where k > n. We would like to know whether span ({p", ..., p* }) = R", i.e., whether the set {p', ...,p*} contains n linearly independent vectors. Show how you can solve this decision problem by solving at most n linear programming problems. You can use the following result for this: Let {q',..., q"}C R" be a basis for R". Then span ({p', q' E span ({p',..., pk }) for each j= 1, ...,n. p* }) = R" if and only if ..... Let {p',..., p}C R", where k > n. We would like to know whether span ({p", ..., p* }) = R", i.e., whether the set {p', ...,p*} contains n linearly independent vectors. Show how you can solve this decision problem by solving at most n linear programming problems. You can use the following result for this: Let {q',..., q"}C R" be a basis for R". Then span ({p', q' E span ({p',..., pk }) for each j= 1, ...,n. p* }) = R" if and only if .....
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