# Transformation_of_matrices

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Category: Education

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## Presentation Transcript

### Transformation of Matrices :

Transformation of Matrices Applying the Operations of Matrices

### Definitions :

Definitions Let’s define some terms … Another way to think about a translation is to imagine a shape sliding across a page to a new location.

### Examples :

Examples Let’s take a look at an example of how this works. You will need to use graph paper to accomplish the tasks in this section More definitions: A PRE-IMAGE is the graph of a shape BEFORE it is transformed. The IMAGE is the graph of the shape AFTER it is transformed.

### Examples … continued :

Examples … continued Let’s write the coordinates of the vertices in a matrix. Notice how the x-coordinates appear on the top row and the y-coordinates appear on the bottom row. By the way – it the order in which you write the coordinates is not important. Since we are asked to translate the pre-image 6 units to the right (X – direction) and 4 units down (y- direction) … we can write a translation matrix!

### Example - continued :

Example - continued Now we can add the matrix containing the coordinates of the pre-image to the translation matrix and generate the matrix containing the coordinates of the new image. Here is the picture of the translation

### Reflections & Rotations :

Reflections & Rotations We can use matrix multiplication to reflect a figure over the x-axis or the y-axis Rotate a figure either 90°, 180°, or 270° about the origin. All you need to know is which matrix to use…

### Examples :

Examples Here is an example Please notice that you always put the transformation matrix in FRONT of the matrix with the vertices.