Let the vectors a1,a2,a3 €R3 and b1,b2,b3 € R4 be given by(adsbygoogle = window.adsbygoogle || []).push({});

a1 a2 a3

1 -2 3

2 2 1

1 1 2

b1 b2 b3

1 1 -1

2 -3 2

1 4 3

3 -2 1

The linear transformation S : R3 --> R4 is defined by

S(x)= b1a1Tx+b2a2Tx+b3a3Tx x€R3

1. Find the standard matrix A for the linear transformation S og decide if the linear transformation S er injective or surjective.

**Physics Forums | Science Articles, Homework Help, Discussion**

Dismiss Notice

Join Physics Forums Today!

The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

# Linear Transformation

Loading...

**Physics Forums | Science Articles, Homework Help, Discussion**