Answer:
60
Step-by-step explanation:
We have been given the matrix;
For a 2-by-2 matrix, the determinant is calculated as;
( product of elements in the leading diagonal) - (product of elements in the other diagonal)
determinant = ( 5*4) - (8*-5)
= 20 - (-40) = 60
Answer:
Step-by-step explanation:
I assume that you need the new coordinates of the point after the rotation centered at the origin.
For this exercise it is important to remember the definition of "Rotation".
A Rotation is defined as a transformation which a figure is rotated about a fixed point known as "Center of rotation".
The figure before the transformation is called Pre-Image and the figure obtained after the transformation is called "Image".
The 180 degree rotation about the origin Rule states that:
→
Therefore, knowing that the given point (5,4) is rotated 180 degrees clockwise about the origin, you can conclude that its Image is:
