6x^-12 - 6y^3 ... I think
Answer:
Sorry, but I can't see this well! I am on lapton, and it is impossible to tilt the whole thing over.
For
all possible rational zeroes are all the possible factors of the constant term -2 express over coefficient of the term with the highest degree of the polynomial which is 3
These are
For
all possible rational zeroes are all the possible factors of the constant term -30 express over coefficient of the term with the highest degree of the polynomial which is 12
These are
Answer:
20 and 4/8 yards of fabric.
Step-by-step explanation:
Explanation
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.