L: R^3 -> R^3 is a linear transformation defined by L(v) =A(v)(adsbygoogle = window.adsbygoogle || []).push({});

A is given as -1 2 0 and w= 1

1 1 1 2

2 -1 1 -1

is w in the range of L?

My understanding is that if a vector exists such that the product of A and this vector = W then it is in the range. I then have the following equations:

-X +2Y = 1

X+Y+Z= 2

2X -Y+Z= -1

no solutions exists, so w is not in the range. Can someone confirm this or offer any other insight?

thanks

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# Homework Help: Linear transformation ranges

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