Determine whether s is a basis for p3. s = {4t - 12,5 +t3,5 +3t,-3t2 +2/3

Yes , S is a basis for .

Step-by-step explanation:

Given

S=.

We can make a matrix

Let A=

All rows and columns are linearly indepedent and S span .Hence, S is a basis of

Linearly independent means any row or any column should not combination of any rows or columns.

Because  a subset of V with n elements is a basis if and only if it is linearly independent.

Basis:- If B is a subset  of a vector space V over a field F .B is basis of V if satisfied the following conditions:

1.The elements of B are linearly independent.

2.Every element of vector V spanned by the elements of B.

answer: 4 meters

step-by-step explanation: to you understand 2/3 better you can do 1 divided by 3 = . then multiply that by the 2 which is .66666666666666667 then you would do 6 x .66666666666666667 which is 4.      

hope this .