Dose anyone can briefly explain the last paragraph ofanswer \"But x cannot be ze

Question

Dose anyone can briefly explain the last paragraph ofanswer "But x cannot be zero vectors but a nontrivial linearcombination of u and v is zero which is impossible because u& v are linearly independent. Hence the equation T(x)=0 has nontrivial solution" ? i can'understand the whole paragraph at all. Dose anyone can briefly explain the last paragraph ofanswer "But x cannot be zero vectors but a nontrivial linearcombination of u and v is zero which is impossible because u& v are linearly independent. Hence the equation T(x)=0 has nontrivial solution" ? i can'understand the whole paragraph at all.

Explanation / Answer

Dose anyone can briefly explain the last paragraph ofanswer "But x cannot be zero vectors but a nontrivial linearcombination of u and v is zero which is impossible because u& v are linearly independent. Hence the equation T(x)=0 has nontrivial solution" ? i can'understand the whole paragraph at all.
YOU HAVE NOT GIVEN THE FULL QUESTION
STILL LET ME TRY TO EXPLAIN YOU THE MEANING OF THE PARA ASTYPED.
1.IF U AND V ARE L.I. THEN IT MEANS THAT
IF XU+YV=0 THEN IT IMPLIES X=Y=0
2. FROM THE ABOVE IT IS OBVIOUS THAT ZERO VECTOR CAN NOT BEPRESENT
IN ANY SET OF L.I. VECTORS...BECAUSE IF U OR V IS ZERO ..SAY..U=0 THEN WE GET
XU+YV=0 FOR X=5 SAY AND Y=0 ..5*0+0*V=0...THAT IS CONTRARY TOTHE
REQUIREMENT GIVEN UNDER 1 FOR L.I. VECTORS.
NOW IF YOU TELL WHAT IS T(X) OR POST THE COMPLETE QUESTION ,WECAN
EXPLAIN THE REST TO YOUR SATISFACTION

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