Recent content by orange12

I have tried to put the a1,a2 etc and b1,b2 etc into the formula for S(x). First i put out x so it became S(x)=(b1a1T+b2a2T+b3a3T)x, and then i get a Matrix, but i am not sure that it is the standard matrix. I read in my book that u have to see what it does to the Idendity colums, but...

Let the vectors a1,a2,a3 €R3 and b1,b2,b3 € R4 be given by 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...

If I row reduce to reduced echelon form with the total matrix [B 0 ] I do not get the same as u get. I get it to be: 1 0 3/2 -4 0 0 1 -1 -1 0

Thx for the help. I can see how a= 4d- (3/2)c and b= c+ d, but why do u choose d=1 c=0 at first, and the d=0 and c=2. And how is The Null space of B is given by <a, b, c, d> with 2a- 3b+ 6c- 5d= 0 and -b+ c+ d= 0. I can't seem to figure this part out, but i understand the answer to part two...

Hey. Got some troubles with this. 4 1 11 A= 1 3 11 0 2 6 1 1 5 1 -1 2 -2 R= -1 2 -3 2 2 -3 5 -5 -2 2 -5 6 B = 2 -3 6 -5 -2 2 -5 6 1. show that the linear system is...