Step-by-step explanation:
Since AB=I, we have
det(A)det(B)=det(AB)=det(I)=1.
This implies that the determinants det(A) and det(B) are not zero.
Hence A,B are invertible matrices: A−1,B−1 exist.
Now we compute
I=BB−1=BIB−1=B(AB)B−1=BAI=BA.since AB=I
Hence we obtain BA=I.
Since AB=I and BA=I, we conclude that B=A−1.
Step-by-step explanation:
this isn't an equation
Answer:
18/81
Step-by-step explanation:
the current fraction adds up to 11 so to get 99 you would need to multiply both the numerator and the denominator by 9 to get a sum of 99
so 2 x 9 = 18 and 9 x 9 =81
so answer is 18/81
<span>Simplifying
w + -11 = 1.3
Reorder the terms:
-11 + w = 1.3
Solving
-11 + w = 1.3
Solving for variable 'w'.
Move all terms containing w to the left, all other terms to the right.
Add '11' to each side of the equation.
-11 + 11 + w = 1.3 + 11
Combine like terms: -11 + 11 = 0
0 + w = 1.3 + 11
w = 1.3 + 11
Combine like terms: 1.3 + 11 = 12.3
w = 12.3
Simplifying
w = 12.3 <--- (Answer)
Happy studying ^-^</span>
The standard equation of parabola:
(y-k)²=4p(x-h), with:
a) vertex = (h,k)
b) focus = (h+p, k)
c) directrix = (x=h-p)
Since this parabola has a vertex at (0,0) that means h=k=0
Hence the equation becomes: y²=4px, let's calculate p:
focus is given (-9,0) Remember h+p = -9 & since h=0, then p= -9
===> y²= - 36x
