Mathematics, 03.02.2020 02:01 lizzyhearts
Find the matrix a of the linear transformation t from ℝ2 to ℝ2 that rotates any vector through an angle of 150∘ in the clockwise direction.
Answers: 3
![A=\left[\begin{array}{cc}-\frac{\sqrt{3} }{2} &\frac{1}{2} \\-\frac{1}{2} &-\frac{\sqrt{3} }{2}\end{array}\right]](/tpl/images/0494/8116/79a5f.png)
, can be described with the help of trigonometric functions.![\left[\begin{array}{cc}\cos \theta&-\sin \theta\\\sin \theta&\cos \theta\end{array}\right]](/tpl/images/0494/8116/bd6f0.png)
describes the counterclockwise rotation of the 
plane by an angle of 
to obtain:![\left[\begin{array}{cc}\cos (-\theta)&-\sin (-\theta)\\\sin (-\theta)&\cos (-\theta)\end{array}\right]](/tpl/images/0494/8116/e0c9f.png)
![\left[\begin{array}{cc}\cos (\theta)&\sin (\theta)\\-\sin (\theta)&\cos (\theta)\end{array}\right]](/tpl/images/0494/8116/ac9b1.png)
.
clockwise is:![\left[\begin{array}{cc}\cos (150\degree)&\sin (150\degree)\\-\sin (150\degree)&\cos (150\degree)\end{array}\right]=\left[\begin{array}{cc}-\frac{\sqrt{3} }{2} &\frac{1}{2} \\-\frac{1}{2} &-\frac{\sqrt{3} }{2}\end{array}\right]](/tpl/images/0494/8116/512f5.png)
.
Another question on Mathematics
Mathematics, 21.06.2019 18:00
Enter numbers to write 0.000328 0.000328 in scientific notation. 1 1 0.000328=3.28 × 0 . 000328 = 3 . 28 × =3.28×10 = 3 . 28 × 10
Answers: 1
Mathematics, 21.06.2019 19:00
The ratio of the measures of the three angles in a triangle is 2: 9: 4. find the measures of the angels
Answers: 2
Mathematics, 21.06.2019 22:00
Students at a high school were asked about their favorite outdoor activity. the results are shown in the two-way frequency table below. fishing camping canoeing skiing total boys 36 44 13 25 118 girls 34 37 22 20 113 total 70 81 35 45 231 select all the statements that are true based on the given table. more girls chose camping as their favorite outdoor activity than boys. more girls chose canoeing as their favorite outdoor activity than those who chose skiing. more boys chose skiing as their favorite outdoor activity than girls. there were more boys surveyed than girls. twice as many students chose canoeing as their favorite outdoor activity than those who chose fishing. more students chose camping as their favorite outdoor activity than the combined number of students who chose canoeing or skiing.
Answers: 1
You know the right answer?
Find the matrix a of the linear transformation t from ℝ2 to ℝ2 that rotates any vector through an an...
Questions
Mathematics, 12.07.2019 04:30
Mathematics, 12.07.2019 04:30
Mathematics, 12.07.2019 04:30
Mathematics, 12.07.2019 04:30
English, 12.07.2019 04:30
