12. In Section 3.2, we saw the rotation matrices: cos(0) -sin(0) [rote] sin(0) cos(0) Express each matrix below as the product of a rotation matrix with a reflection matrix (across either the x-axis or the y-axis), then describe in words the action of each matrix on R2. Be sure that factors are in the correct order. - cos(0) sin(0) а. sin(0) cos(0) cos(0) sin(0) sin(0) -cos(0)
Permutations and Combinations
If there are 5 dishes, they can be relished in any order at a time. In permutation, it should be in a particular order. In combination, the order does not matter. Take 3 letters a, b, and c. The possible ways of pairing any two letters are ab, bc, ac, ba, cb and ca. It is in a particular order. So, this can be called the permutation of a, b, and c. But if the order does not matter then ab is the same as ba. Similarly, bc is the same as cb and ac is the same as ca. Here the list has ab, bc, and ac alone. This can be called the combination of a, b, and c.
Counting Theory
The fundamental counting principle is a rule that is used to count the total number of possible outcomes in a given situation.
3.4 #12
The question is in the picture
Please answer a and b
![12. In Section 3.2, we saw the rotation matrices:
cos(0) –sin(0)
[rote] =
sin(0) cos(0)
Express each matrix below as the product of a rotation matrix with a reflection matrix
(across either the x-axis or the y-axis), then describe in words the action of each matrix
R2. Be sure that factors are in the correct order.
on
- cos(0) sin(8)
а.
sin(0) cos(0)
cos(0) sin(0)
sin(0) -cos(0)
b.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fcecab317-fab7-42bc-8c65-e82787a88e59%2F5205a8bd-ecc7-4052-bebc-b0bfe57860bb%2F0xqko3_processed.png&w=3840&q=75)
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