Question

Select the matrix that represents the vector.

Answer 1

The given vector can be represented by the column matrix:

$\left[\begin{array}{ccc}-7\\6\end{array}\right]$

So the correct option is C.

Which is the matrix that represents the vector in the coordinate axis?

Any vector, in any number of dimensions, can be represented by a column (or row, depending the case) matrix.

Particularly, for the case in 2 dimensions, if a vector starts at the origin and ends at the point (x, y), then the matrix that represents that vector is written as follows:

$\left[\begin{array}{ccc}x\\y\end{array}\right]$

Now if we look at the given image, we can see that our vector starts at the origin and ends at the point (-7 , 6). Then using what we wrote above, is easy to conclude that the matrix that represents this vector is:

$\left[\begin{array}{ccc}-7\\6\end{array}\right]$

By looking at the options we can see that the correct option is C.

If you want to learn more about vectors:

https://brainly.com/question/3184914

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