Year 12s: what will be the first way you research your future options? >>

Year 12s: what will be the first way you research your future options? >>

Year 12s: what will be the first way you research your future options? >>

Further Mathematics - Linear Transformations. Help. plz.

username3482522

Answers:

8. b. a = 1 or a =7

9. b. p = -3, q = 3

10. b. a = 0, b = 0

I can do part a of these questions but I can't do part b of either of them.I have no idea how to actually go about solving them.

Can you either provide me with a worked solution or point me in the right direction?

Thank you.

Screenshot_1.png194.2KB

Screenshot_2.png86.6KB

the area scale factor is connected to the Determinant of the transformation matrix.

Study Forum Helper

Original post by num.7

...

8 b) What is the area of triangle

T

in terms

a

?? Then you just have

\det(A) \cdot (\text{area of T}) = 60

and just solve for a.

9 b) Note that a matrix of enlargement scale factor

a

is of the form

\begin{pmatrix} a \ 0 \\ 0 \ a \end{pmatrix}

10 b) Well, just multiply the matrix by the point (a,b) and equate the top row to

a-5b

and bottom row to

4b

, these give you 2 eqs. in 2 unknowns.

Quick Reply

Latest

Trending

Trending

Articles for you

What A-levels do you need to study psychology?

What A-levels do you need to study psychology?

What A-levels do you need to become an engineer?

What A-levels do you need to become an engineer?

International Baccalaureate (IB) students: applying to university

International Baccalaureate (IB) students: applying to university

Open day questions: maths and statistics students

Open day questions: maths and statistics students