# Is a vector a matrix

## Calculate matrix times vector

You can learn how to multiply a matrix by a vector here. These are the topics:

• A Explanationhow to multiply matrix times vector.
• Examples for vector with matrix.
• Tasks / exercises to practice the topic yourself.
• A Video for calculating with matrices.
• A Question and answer area to this area.

### Matrix times vector explanation

Multiplying a matrix by a vector is actually relatively simple:

Note:

The multiplication of a matrix with a vector is done by the multiplication "row by column". The number of coordinates in the result corresponds to the number of rows in the matrix.

example 1:

We have a matrix with two rows and three columns. This is multiplied by a vector with x, y and z. In principle, the row of the matrix is ​​multiplied by the column. You can see the detailed calculation and the result here: Display:

### Matrix times vector example 2

If this is not enough, here is a more extensive example.

Example 2: 3x3 matrix times vector

In this example we have a 3x3 matrix, i.e. a matrix with 3 rows and 3 columns. This is multiplied again by a vector. Here, too, we go through the calculation piece by piece with row by column and calculate this at the end. ### Examples and explanations

We don't have an extra video on how to compute matrix times vector. However, we have a video that generally deals with the multiplication of matrices:

• Matrix multiplication
• Matrix times matrix
• Example is pre-calculated.

Tip: do the math again yourself. That way everything stays in your memory better.

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### Questions with answers matrix times vector

In this section we look at typical matrix by vector questions with answers.

Q: When is this topic covered?
A: Calculating with matrices and also matrix times vector is dealt with in the upper level, mostly from grade 11. Calculating with matrices is also part of many courses.

Q: What topics should I look at next?
A: We are currently working on these topics and will link them here after publication:

• Difference in position vector and direction vector
• Amount / length of a vector
• Calculating with vectors