QUESTION 1 A linear combination is: A matrix multiplied by a vector Two or more

Question

QUESTION 1 A linear combination is: A matrix multiplied by a vector Two or more matrices multiplied together. Two or more linear transformations composed together The sum of two or more vectors, each multiplied by a coefficient. QUESTION 2 Vectors would be a good choice to represent which of the following? (you can choose more than one) Points on a 3D mesh The position and orientation of a robot's manipulator The internal states of a neural network The position of a pixel on a screen Linea r transformations QUESTION 3 Matrices would be a suitable choice to represent which of the following? (You may choose more than one) End points of a line in a vector drawing program The position of an object in 3D space Transformations of objects in a 2D plane (rotations, reflections, etc.) Linear transformations The position and orientation of a virtual camera in a 3D scene (via a homogenous representation)

Explanation / Answer

1. (d) A linear combination is an expression that is constructed by set of terms by multiplication of a constant with each term and adding all results.

2. (b),(d),(e)

3. (a),(c),(e)

However certain transformations such as linear transformations, positions can be represented by both matrix and vectors. Vectors are 1xm matrix only.

Vectors are quantities that have magnitude as well as direction.

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