Sir I could easily catch up the notion thanks to your teaching yet it would be more clear if you solve the exercise sums atleast one or two instead of putting everything as exercises.
linear dependence: linear combination = 0 despite at least one coefficient being non-zero OR when at least one vector in the linear combination can be expressed as a combination of other vectors in the span Null set is linearly independent subset of a linearly independent set is also linearly independent.
Sir I could easily catch up the notion thanks to your teaching yet it would be more clear if you solve the exercise sums atleast one or two instead of putting everything as exercises.
Sir teaching is superb, please add some quality examples after every results.
sir, you are highlighting everything, but an illustration or figure could be more helpfull ??
I did not unterstood the proof what to do
please help
linear dependence: linear combination = 0 despite at least one coefficient being non-zero OR when at least one vector in the linear combination can be expressed as a combination of other vectors in the span
Null set is linearly independent
subset of a linearly independent set is also linearly independent.
Sir if it's true that subspace is always linearly dependent? As it is subset of vector space V and it contains zero vector
i too have same doubt and in this manner space should also be alway linearly dependent cause it too contain 0 vector
Yes any subspace and the whole vector space are linearly dependent
5done ✓
S equals S’ then it will be independent