Question

each column of the matrix T=[0,0,3,0,3,0] represents a vertex of a triangle. if rosa scales the triangle by fining 3T what are the vertices of the scaled triangle?

Answer 1

`\large\boxed{(0,\ 0),\ (0,\ 9),\ (9,\ 0)}`

Explanation:

`n\cdot\left[\begin{array}{ccc}a&b&c\\d&e&f\end{array}\right] =\left[\begin{array}{ccc}(n)(a)&(n)(b)&(n)(c)\\(n)(d)&(n)(e)&(n)(f)\end{array}\right] \\\\============================`

`\text{We have:}\\\\T=\left[\begin{array}{ccc}0&0&3\\0&3&0\end{array}\right] \Rightarrow\text{vertex}\ (0,\ 0),\ (0,\ 3),\ (3,\ 0)\\\\-----------------------------\\\\3T=\left[\begin{array}{ccc}(3)(0)&(3)(0)&(3)(3)\\(3)(0)&(3)(3)&(3)(0)\end{array}\right] =\left[\begin{array}{ccc}0&0&9\\0&9&0\end{array}\right] \\\\\text{new vertex:}\ (0,\ 0),\ (0,\ 9),\ (9,\ 0)`

Answer 2

(0,0), (0,9), (9,0)

Explanation:

The matrix corresponding vertices are:

(0,0)

(0,3)

(3,0)

Rosa scales by 3T, so we need to multiply each point by 3.

(3*0, 3*0)

(0*3, 3*3)

(3*3, 0*3)

=

(0,0)

(0,9)

(9,0)

last answer choice is right.