Mathematics, 01.02.2021 20:50 angelteddy033
For each of the situations described below, give an example(if it’s possible) or explain why it’s not possible.
a. A set of vectors that does not span R^3. After adding one more vector, the setdoes spanR3.
b. A set of vectors that are linearly dependent. After adding one more vector, theset becomes linearly independent.
Answers: 3
, it means the number of linearly independent vectors are less than 3. So by adding one or more linearly independent vectors with respect to existing vectors, we can convert the set to basis and basis always spans vector space.
this set does not span 
.
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For each of the situations described below, give an example(if it’s possible) or explain why it’...
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