Question

find a basis................

Answer 1

[1,0], [0,1] :)

Answer 2

find a basis for subspace W of \[P_{3}\]

Answer 3

consisting of all vectors of the form

Answer 4

\[a t^{3}+bt ^{2}+ct+d, where b=3a-5d and c=4a+d\]

Answer 5

* where b=3a-5d and c=4a+d

Answer 6

1a+0d
3a-5d
4a+1d
0a+1d

looks like the basis is [1,3,4,4],[0,5,1,1]

Answer 7

should i doing row echolen form

Answer 8

-5 that is

Answer 9

depends on what you want your basis to look like; a basis generally is just a set of independant vectors

Answer 10

why basis {1,3,4,4} not 1,3,4,0 ??

Answer 11

if i want to do row echelon form..how should i start it?

Answer 12

becasue im typing on my laptop and hit alot of wrong keys :)

Answer 13

start at the top and do elementary row operations to get it into some sort of echelon form

Answer 14

you can even do a grahm schmit if you want to form an orthogonal basis

Answer 15

can you do a matrix form from this question

Answer 16

so i can do row echelon form

Answer 17

http://tutorial.math.lamar.edu/Classes/LinAlg/ChangeOfBasis.aspx

look at example 2, does that look like what this question is asking? if so i might have been thinking of something else

Answer 18

what is difference p2 and p3..does it refer to power??

Answer 19

at3+bt2+ct+d
\[\begin{vmatrix}a&b&c&d\end{vmatrix}~\begin{vmatrix}t^3\\t^2\\t\\ 1\end{vmatrix}\]

the subscript referes to the degree of the poly

Answer 20

\[P_n(x)=a_0+a_1x+a_2x^2+...+a_nx^n\]

Answer 21

id have to do some more reading to refresh me memories on this .... will have to get back at it in the morning tho.

Answer 22

http://www.csus.edu/indiv/e/elcek/M35/section4_6.pdf

question 32 is exactly like yours, and has a followable solution that could help