3² + 7 - y² - 5 - 2y² -1
= -3y² + 9 + 1 = -3y² + 10
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.
Answer:
C
Step-by-step explanation:
The picture
In the case above, the side-side-angle (SSA) is no valid means for establishing triangle congruence.
<h3>What is the
triangle congruence about?</h3>
Using the image attached:
m angle A = M angle A
AB = A¹B¹
BC = B¹C¹
Looking at the image of both angles you will see that both are not congruence because Two triangles can be regarded as congruent if and when all its three corresponding angles or sides are said to be equal and all the three corresponding angles are also said to have equal measure.
Learn more about congruence from
brainly.com/question/2938476
#SPJ1
Answer:
Very good actually
Step-by-step explanation:
Because I ate CHICKEN NUGGETIES!!!!!