Prove or disprove: T(v)=3v is a linear transformation
B beavis New member Joined Feb 4, 2008 Messages 4 Feb 4, 2008 #1 Prove or disprove: T(v)=3v is a linear transformation
R royhaas Full Member Joined Dec 14, 2005 Messages 832 Feb 4, 2008 #2 Show that T(v1+v2)=T(v1)+T(v2)\displaystyle T(v_1+v_2)=T(v_1)+T(v_2)T(v1+v2)=T(v1)+T(v2) for any two vectors in the space, and that T(cv)=cT(v)\displaystyle T(cv)=cT(v)T(cv)=cT(v) for any scalar c\displaystyle cc.
Show that T(v1+v2)=T(v1)+T(v2)\displaystyle T(v_1+v_2)=T(v_1)+T(v_2)T(v1+v2)=T(v1)+T(v2) for any two vectors in the space, and that T(cv)=cT(v)\displaystyle T(cv)=cT(v)T(cv)=cT(v) for any scalar c\displaystyle cc.
B beavis New member Joined Feb 4, 2008 Messages 4 Feb 4, 2008 #3 I don't quite understand what you mean. Could you elaborate a little more?
pka Elite Member Joined Jan 29, 2005 Messages 11,988 Feb 4, 2008 #4 beavis said: I don't quite understand what you mean. Could you elaborate a little more? Click to expand... Do you understand what a linear transformation is? If so, tell us. Otherwise, you need a one-on-one meeting with your instructor.
beavis said: I don't quite understand what you mean. Could you elaborate a little more? Click to expand... Do you understand what a linear transformation is? If so, tell us. Otherwise, you need a one-on-one meeting with your instructor.
