QUESTION 7 A linear transformationis A function f that satisfies f(ai + by -af)

Question

QUESTION 7 A linear transformationis A function f that satisfies f(ai + by -af) bf) OThe most common type of function O A function that maps lines to lines, but does not map the origin to itself A type of translation function QUESTION 8 Matrices are related to linear transformations in that Linear transformations are exactly the set of functions that can be represented by multiplying a vector by a matrix Linear transformations are the set of functions that act on matrices Matrices are the domain of linear transformations Linear transformations can be represented as vectors which act on matrices O QUESTION 9 The identity matrix is O The unique matrix 1 such that lx-x for all The only matrix which is tsown inverse O The only matrix that represents an affine transformation rather than a linear transformation Another name for the inverse of a given matrix

Explanation / Answer

7)

A linear transformation is a function f that satisfies f(aX+bY) = a f(X) + b f(Y) where a,b are scalars. Hence, option-1 is the correct option.

8)

Option-2

9)

Identity matrix is the unique matrix I such that IX = X for all X. option-1 is the correct option.

Note: Since I cannot use arrow over a character in chegg editor, for vectors, I have used their corresponding uppercase letters.

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