Question: A transformation T: R4 R2 is de-fined with matrix multiplication to be T(v) = Ai It is known that the RREF of A is Determine

A transformation T: R4 †’ R2 is de-fined with matrix multiplication to be T(v) = Ai It is known that the RREF of A is
A transformation T: R4 †’ R2 is de-fined with matrix

Determine dim(Ker( T)) and d.im(lm( T)). Is T one-to one? Is it onto R2? Find bases for the kernel and image.

1 -2 3 0 0 0 0

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