Question
Consider the three 4-dimensional vectors aj = _21, 22 = 1 , a3 = 11 and...
![Consider the three 4-dimensional vectors aj = _21, 22 = 1 , a3 = 11 and the matrix A = [a], 22, az). (a) Find rank A and null](https://i.imgur.com/pzsvJlW.png)
Consider the three 4-dimensional vectors aj = _21, 22 = 1 , a3 = 11 and the matrix A = [a], 22, az). (a) Find rank A and null A. (b) The linear transformation TA : R3 → R4 is defined by T.(x) = Ax. Determine whether TA is injective or not. (c) Determine whether the vectors aj, a2, az are linearly independent or dependent.
Answers
Date T2 I 3 CAC, -2/2 lol ol 1 -2 1-3 12 17 (3-362- 51-1 L02 LIO 2 C -16, o lo @ (37 (3 +2C, 15 19 11 001 - ux so Ramka -3], thus nulity (A) – 3-3=0] as Rank A 3 , so Rank CT - 3, This I is Injective. Since Rank A=3, so vectors an, az end bg are Mdependite o
![Date T2 I 3 CAC, -2/2 lol ol 1 -2 1-3 12 17 (3-362- 51-1 L02 LIO 2 C -16, o lo @ (37 (3 +2C, 15 19 11 001 - ux so Ramka -3],](http://img.homeworklib.com/questions/2b537a60-2f95-11eb-b04e-a9c9778f659b.png?x-oss-process=image/resize,w_560)
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