Answer:
u•u = 17
u•v = 13
v•u = u•v = 17
v•u/u•u = 13/17
Step-by-step explanation:
Given 2 column matrices
u = [-1 4] and v = [7 5]
Note that when computing product, we will multiply component wise.
To compute u times u, we will take the dot product of both column matrix.
u•u = [-1 4] • [-1 4]
u•u = (-1)(-1) + (4)(4)
u•u = 1+16
u•u = 17
To compute u times v, we will take the dot product of column matrix u and column matrix v.
u•v = [-1 4] • [7 5]
u•v = (-1)(7) + (4)(5)
u•v = -7+20
u•v = 13
v•u/u•u can be gotten by simply substituting the resulting values.
v•u/u•u = 13/17
Answer:
thats the answer D
Step-by-step explanation:
hope that helped
1/x - 2/(x-3) = 4
multiply each side by x*(x-3)
x*(x-3)(1/x - 2/(x-3)) = 4*x*(x-3)
distribute
x*(x-3)(1/x) - 2/(x-3))x*(x-3) = 4*x*(x-3)
cancel
(x-3) - 2*x = 4x(x-3)
distribute
x-3-2x = 4x^2-12x
combine like terms
-x-3 = 4x^2 -12x
add x+3 to each side
0 = 4x^2 -12x+x+3
0 = 4x^2 -11x+3
using the quadratic formula
x= 11/8 - sqrt (73)/8
x=11/8 + sqrt (73)/8