Please help me with matrix transformation!!! please help

[Str8killer22]

I've done most of it but i dont understand the language/term in the last sub question.

it says

"A shear transformation of A'B'C', shear factor 2, direction parallel to the x-axis with A'B' as the invarient line is then performed"

What does "direction parallel to the x axis" mean? explain thoroughlY!!!

and the triangle A'B'C is (-1,1) (-3,1) (-3,4)

Moreover, can sheer factors be negative????



thank you explain and correct

 

[Str8killer22]

can you have a negative shear factor?

I came across a transformation matrix (1 0
-1 1) the transformation matrix (1 0
k 1) is a sheer factor k on y invarient.

so this matrix must be a sheer factor -1....is that possible? i thought it was only positive...


My triangle has been sheered here

from ABC

(2,1) (3,3) and (5,1)

to A'B'C'

(1,-1) (3,0) (5,-4)

can someone explain or correct me?

 

[CaptainDanger]

I've done most of it but i dont understand the language/term in the last sub question.

it says

"A shear transformation of A'B'C', shear factor 2, direction parallel to the x-axis with A'B' as the invarient line is then performed"

What does "direction parallel to the x axis" mean? explain thoroughlY!!!

and the triangle A'B'C is (-1,1) (-3,1) (-3,4)

Moreover, can sheer factors be negative????



thank you explain and correct

Is it from a past paper? Yes shear factor can be NEGATIVE...

 

[CaptainDanger]

Re: can you have a negative shear factor?

I came across a transformation matrix (1 0
-1 1) the transformation matrix (1 0
k 1) is a sheer factor k on y invarient.

so this matrix must be a sheer factor -1....is that possible? i thought it was only positive...


My triangle has been sheered here

from ABC

(2,1) (3,3) and (5,1)

to A'B'C'

(1,-1) (3,0) (5,-4)

can someone explain or correct me?

Your calculated COORDINATES are right...