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Linear Algebra

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Moderate

Linear Transformation

Kernel

LINALG-BLOOCJ

$f:R^3\rightarrow R^2$, with $f((x,y, z))=(x+y, y-z)$.

What is the kernel of this linear transformation?

A

$\{ (0,0,0)\}$

B

$\{ (x,y, z) | x=y=z\}$

C

$\{ (-a, a, a) | a \in R\}$

D

$\{ ( 0, 0)\}$

E

None of the above.