Determine whether t is a linear transformation or not? t(x, y) =(2x, 3y)?

Question

Answer

T is a linear transformation
short trick-
1.यदि t(x,y) में कोई constant add हो जैसे (x+2,y+3) तो linear transformation नही होता।
2.यदि mod आ जाये जैसे(|x|,|y|) ,not a linear transformation.
3- ydi square ho ex. (x^2,y^3) ,not a linear transformation.
4.ydi vector aaps me multiply ho ex. (xy,yz) ,not a linear transformation.

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