- #1
skysurani
- 7
- 0
f1(x)= (sqrtx) + 5,
f2(x)= (sqrtx) + 5x
f3(x)= x-1
i don't know how to start
f2(x)= (sqrtx) + 5x
f3(x)= x-1
i don't know how to start
Linear independence refers to a set of vectors that cannot be written as a linear combination of each other. This means that none of the vectors can be created by multiplying another vector by a scalar and adding it to the other vectors in the set.
To prove if vectors are linearly independent, you can use the linear independence test. This involves setting up an equation with the vectors as coefficients and solving for a combination of scalars. If the only solution is when all the scalars are equal to 0, then the vectors are linearly independent.
Yes, a set of 2 or 3 vectors can be linearly independent. The number of vectors in a set does not determine their linear independence. It is possible for a set of 2 or 3 vectors to be linearly dependent or independent.
Linear independence is important in linear equations because it determines whether a system of equations has a unique solution. If the vectors in a system are linearly dependent, there are infinite solutions. If the vectors are linearly independent, there is only one solution.
No, linearly independent vectors cannot be in the same direction. If two vectors are in the same direction, one can be represented as a scalar multiple of the other, making the set linearly dependent. Linearly independent vectors must have different directions.