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How are those vectors linearly independent?

Mathematics Asked by user378298 on October 5, 2020

I presume we can call a set of vectors a basis if it spans some subspace and are linearly independent. Is this matrix $$ begin{bmatrix}
1 & 8 & 0 & 5 \
0 & 11 & -3 & 5\
end{bmatrix}$$
of linearly independent vectors ? Because in mine textbook it is. I’m very confused.
Can it ever be called a basis?

One Answer

Hint/Question:

Two vectors are linearly dependent if one of them is a scalar multiple of the other. Is this possible in the present case?

Answered by Bernard on October 5, 2020

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