I really need a solution, and explanation to that solution. I found this really hard

Question

Yada is on a treasure hunt. Her current location can be represented by the vector matrix

She thinks if she turns 90 degrees clockwise about the origin and then walks 3 units to the right and 1 unit up she will reach the treasure located at

What are the coordinates of the terminal point where she ended up? 

Show your work using matrices

Answer 1

in matrix expression

vector (7,3)= [matrix (a₁₁=0.a₁₂=1,a₂₁=-1,a₂₂=0) times vector (-2,,4)]+ vector (3,0)+ vector (0,1)

[matrix (a₁₁=0.a₁₂=1,a₂₁=-1,a₂₂=0) rotates any point in xy plane clockwise 90 degrees.

What Yada should have done is go right 1 unit (1,0) and up 3 units (0,3) after rotating around origin.

Then Yada would be at (5,5)

Answer 2

Does this help?