For a system of vectors U = {(1,2, 6); (0, -1, -5);(2,3,7); (1,0,-4) } .
a. Find the number of dimensions and a basis W of the subspace generated by the vector system U .
b. Find the parameter k to
u = (2,3, k^2+1) is a linear combination of W , and it follows that [ ]W
u .

a: 1/6, j: 1/4

step-by-step explanation: you are welcome

the correct answer is b. negative exponential growth.

step-by-step explanation:

you can tell it's an exponential function because it decreases rapidly then levels out and never touches the x-axis.

it is negative because the y-axis decreases as the x-axis increases.

therefore it is a negative exponential growth graph.

hope i !

there are infinitely many solutions.

x coordinate can be written by using the formula, x= x1 + 2/5(x2 - x1)

step-by-step explanation:

formula

x = x1 + p/w(x2 - x1)

let the line segment ab with a(x1,y1) and b(x2,y2)

a point(x,y) divide ab in the ratio, 2: 3 the x coordinate can be written as

x = x1 + p/w(x2 - x1)

here p=2 and w = 2+3

therefore,

x coordinate can be written by using the formula, x= x1 + 2/5(x2 - x1)

similarly y coordinate y = y1 + 2/5(y2 - y1)