Dilation From X Axis Matrix

The coefficient in front of the y can be said to be a dilation factor from the x axis or parallel to the y axis.

Dilation from x axis matrix.

So that s my z axis and this is my y axis right here. Now this basis vector just goes in the y direction by 1. Overrightarrow a begin bmatrix 1 3 2 2 end bmatrix in order to create our reflection we must multiply it with correct reflection matrix. And then when you rotate it around the x axis when i draw it like this you could imagine the x axis is just popping out of your computer screens.

And it has a length of 1. Phd in economics at mit. We want to create a reflection of the vector in the x axis. A dilation is a transformation that produces an image that is the same shape as the original but is a different size.

In euclidean geometry uniform scaling or isotropic scaling is a linear transformation that enlarges increases or shrinks diminishes objects by a scale factor that is the same in all directions. A scale factor of 1 is normally allowed so that congruent shapes are also classed as similar. Dilation transformation matrix is the matrix which can be used to make dilation transformation of a figure. The result of uniform scaling is similar in the geometric sense to the original.