Question: Determine whether the linear transformation T is (a) one-to-one and (b) onto. T : R 3 W defined by where W is the vector space

Determine whether the linear transformation T is (a) one-to-one and (b) onto.

T : †’ R3 W defined by T b a + b + c b – 2c b – 2c

where W is the vector space of all symmetric 2 × 2 matrices

T b a + b + c b 2c b 2c

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