Linear maps introduction

JavaScript isn't enabled in your browser, so this file can't be opened. Enable and reload.

Linear maps introduction

Vectors are written as rows in these questions. R^n is the real vector space with n coordinates. Enter your answer as concisely as possible.

Sign in to Google to save your progress. Learn more

Is T(x,y) = xy a linear map?

1 point

True

False

Clear selection

Is T(x,y) = x^2 a linear map?

1 point

True

False

Clear selection

Is T(x,y) = (x+2, y-2) a linear map?

1 point

True

False

Clear selection

Find a,b,c,d such that T(x,y)=(ax+by,cx+dy) maps (1,0) to (1,2) and (0,1) to (2,3).

2 points

Find a,b,c,d such that T(x,y)=(ax+by,cx+dy) maps (1,0) to (1,2) and (0,1) to (1,2).

2 points

Find a,b,c,d such that T(x,y)=(ax+by,cx+dy) maps (1,2) to (2,3) and (2,3) to (3,4).

3 points

Submit

Clear form

Never submit passwords through Google Forms.

This form was created inside of IIT Madras Electrical Engineering.