Question

PLEASE HEKP FAST FAST

Answer 1

Answer:

1. (-6,-2)

2. (3, -5)

3. (3, 2)

4. (8, -9)

Step-by-step explanation:

Where's the pic for 5 and 6?

Answer 2

Answer:

a) (-2,-6)

b) (3, -5)

c) (3 ,2)

d) (8,-9)

Step-by-step explanation:

a) You have to use the Rotation Matrix, which is $\left[\begin{array}{ccc}-1&0\\0&-1\\\end{array}\right]$ and it has to be multiplied by (x,y) which is equal to (2,6)

Then after the multiplication you´ll obtain (-2,-6)

b) You have to use the Rotation Matrix which is $\left[\begin{array}{ccc}0&1\\-1&0\\\end{array}\right]$ and multiplied for the vector (5,3) you´ll obtain (3, -5)

c) The Rotation Matrix for a rotation of 90° is given by $\left[\begin{array}{ccc}0&-1\\1&0\\\end{array}\right]$ and again after the multiplication you´ll obtain (3,2)

d) The Rotation Matrix is given by $\left[\begin{array}{ccc}-1&0\\0&-1\\\end{array}\right]$  hence after the multiplication fo the roation matrix and the vector you´ll obtain (8,-9)

The answer of 5 and 6 is the matrix that I already wrote down on the excercises.