Math1231 assignment Study guides, Class notes & Summaries

MATH1231 Assignment 2020 T2 We have a function T:ℝ3 → ℝ2 defined by:

MATH1231 Assignment 2020 T2 We have a function T:ℝ3 → ℝ2 defined by:

The function T : R 2→R3 is defined by: x ( 4 x2 ) x Show that T islinear. A proof of linearity begins by assigning v1 and v2 to be two arbitrary vectorsin the domain of T , and α to be a scalar to prove the conditions: i. T ( v1+ v2 )=T (v1 )+T (v2 ) and ii. T ( α v1 )=αT (v1 ) for all scalars α (usually α∈ R ) and vectors v1 ,v2∈T . Let v , v ∈ R 2 . Then, v = ( x1 ) and v = ( y1 ) . Therefore, x + y ( 4 ( x2+ y2 ) 4 x2+4 y2 Now, to prove linearity ...

MATH1231 ASSIGNMENT TEST QUESTIONS AND ANSWERS

MATH1231 ASSIGNMENT TEST QUESTIONS AND ANSWERS 2024