Question

Given a vector v represented as a column matrix [43] and the transformation matrix [200−1], what is the transformed vector?
Responses

[−8−3]
left square bracket. first row. negative 8. second row. negative 3. right square bracket.

[8−3]
left square bracket. first row. 8. second row. negative 3. right square bracket.

[−4−3]
left square bracket. first row. negative 4. second row. negative 3. right square bracket.

[−3−8]

Answer 1

Multiply: [2 0; 0 −1] [4; 3] = [2·4 + 0·3; 0·4 + (−1)·3] = [8; −3]. So the transformed vector is [8 −3].