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How to know if two vectors are linearly independent

Sagot :

Ayo138

Answer:

Given a set of vectors, you can determine if they are linearly independent by writing the vectors as the columns of the matrix A, and solving Ax = 0.

Explanation:

You may verify if a group of vectors is linearly independent by expressing the vectors as columns of the matrix A and solving Ax = 0.

What is a vector?

A vector is a quantity or phenomena with magnitude and direction that are independent of one another. The phrase also refers to a quantity's mathematical or geometrical representation.

If no vector can be written as a linear combination of the others, a set of vectors is said to be linearly independent.

If no vector in a collection of vectors can be written as a linear combination of the ones mentioned before it, the set is said to be linearly independent.

A nontrivial linear combination yields the zero vector, the vectors are said to be dependent.

You may verify if a group of vectors is linearly independent by expressing the vectors as columns of the matrix A and solving Ax = 0.

To learn more about the vector refer to the link;

https://brainly.com/question/13322477

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