If P is linear, then 1) None of the given options

Cherish Sellers

Cherish Sellers

Answered question

2022-02-13

If P is linear, then
1) None of the given options is correct
2) The null space of P is empty
3) P(xy)=P(x+y) for all inputs x,y
4) P(ax+by)=aP(x)+bP(y) for all inputs x, y and constants a, b.

Answer & Explanation

Emilie Mcpherson

Emilie Mcpherson

Beginner2022-02-14Added 12 answers

Properties of Linear Transformation,
T(a1x1+a2x2+a3x3+.+anxn)=a1T(x1)+a2T(x2)+a3T(x3)+..
If P is linear, then
P(ax+by)=aP(x)+bP(y)
Option (4) is correct.

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