Answer:
<h2>continuing with whole assignment, first half is creditied to brainly user above.</h2>
Step-by-step explanation:
Using both the rotation matrices earlier in this lesson and your matrix calculator, find each determinant.: 1 and 1
next question : Find the following determinant by hand.
answer is : 1
Next question : In mathematics, a pattern may suggest a conclusion, but it is not proof of it. Next you will prove that the determinant of a rotation matrix (CCW about the origin) must be 1. Luckily, there is the general rotation matrix you can use.
Answer : cos^2x + sin^2x
Next question : Using trigonometric identities, this can be simplified to
Answer : 1
/next question: In the lesson, you used the following matrices to create reflections
Answer: All these reflections resulted in CONGRUENT figures.
next question: Find the determinant of each of these: answer: - 1
next question: A • At =
a b
c d
where At is the transform of A. answer: a=1 b=0 c=0 d=1
next question: Repeat this process for the other three matrices. The product of a reflection matrix and its transpose is the identity matrix
Choose the correct choice for the matrix after applying the transformation to the triangle: A
The resulting matrix creates an image that is to the original triangle.: not similar
Find the determinant of the rotation matrix.
Det R = 1 which matches the determinant for our other translation matricies
Find the product of the matrix and its transpose: R·Rt is none of the above
