Question: A linear transformation L: V W is said to map V onto W if L(V) = W. Show that the linear transformation L defined

A linear transformation L: V → W is said to map V onto W if L(V) = W. Show that the linear transformation L defined by
L(x) = (x1.x1 +x2,x1 +.x2 + x3)T
maps R3 onto R3.

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