- #1
twoflower
- 368
- 0
Hi all, I don't know how to solve this:
The vector u has the coordinates [itex]( u_1, u_2, u_3 ) [/itex] to the base [itex] a = { ( 1,0,0), (1,1,0), (1,1,1) }[/itex] and it has the coordinates [itex]( u^{'}_{1}, u^{'}_{2}, u^{'}_{3} ) [/itex] to the base b. We also know:
[tex]
u_1 = 2u^{'}_1 - u^{'}_2 + u^{'}_3
[/tex]
[tex]
u_2 = u^{'}_1 + 3u^{'}_2 - u^{'}_3
[/tex]
[tex]
u_3 = u^{'}_1 + u^{'}_2 - 4u^{'}_3
[/itex]
Find out the base b !
I have no idea how to solve it...I tried it but I couldn't find a way without adding unknown variables to the equations.
Could someone help please?
The vector u has the coordinates [itex]( u_1, u_2, u_3 ) [/itex] to the base [itex] a = { ( 1,0,0), (1,1,0), (1,1,1) }[/itex] and it has the coordinates [itex]( u^{'}_{1}, u^{'}_{2}, u^{'}_{3} ) [/itex] to the base b. We also know:
[tex]
u_1 = 2u^{'}_1 - u^{'}_2 + u^{'}_3
[/tex]
[tex]
u_2 = u^{'}_1 + 3u^{'}_2 - u^{'}_3
[/tex]
[tex]
u_3 = u^{'}_1 + u^{'}_2 - 4u^{'}_3
[/itex]
Find out the base b !
I have no idea how to solve it...I tried it but I couldn't find a way without adding unknown variables to the equations.
Could someone help please?