Because 10 divided by 6 equals 6 tenths not 6 hundredths
Answer:
the line is curved
Step-by-step explanation:
so it wont work
Answer:
The minimum value for
is
.
Step-by-step explanation:
Given function is 
We need to find the maximum value or the minimum value for the function.
Now, differentiate
w.r.t
.


Now, we will equate
to find critical point.

Plug this critical point in to the function
we get,

Also,
which is positive, We have minimum value.
So, the minimum value for
is
.
Answer:
Only d) is false.
Step-by-step explanation:
Let
be the characteristic polynomial of B.
a) We use the rank-nullity theorem. First, note that 0 is an eigenvalue of algebraic multiplicity 1. The null space of B is equal to the eigenspace generated by 0. The dimension of this space is the geometric multiplicity of 0, which can't exceed the algebraic multiplicity. Then Nul(B)≤1. It can't happen that Nul(B)=0, because eigenspaces have positive dimension, therfore Nul(B)=1 and by the rank-nullity theorem, rank(B)=7-nul(B)=6 (B has size 7, see part e)
b) Remember that
. 0 is a root of p, so we have that
.
c) The matrix T must be a nxn matrix so that the product BTB is well defined. Therefore det(T) is defined and by part c) we have that det(BTB)=det(B)det(T)det(B)=0.
d) det(B)=0 by part c) so B is not invertible.
e) The degree of the characteristic polynomial p is equal to the size of the matrix B. Summing the multiplicities of each root, p has degree 7, therefore the size of B is n=7.