Based on the definition of integers, ordering them would depend on if they are negative, positive, or have a zero value.
<h3>How are integers ordered?</h3><h3 />
Integers are whole numbers such as 1, 15, and 55. There are no decimals and they do not come in the form of fractions.
Integers can be negative or positive. Positive integers are always higher than negative integers. For instance, 1 is more than -500,000.
If both integers are negative, the larger looking number is considered smaller. For instance, -5 is more than -55. For positive integers, this is the reverse with larger looking numbers being larger.
An example of the correct order of intergers based on this dataset (1, 52, -800, 86, 5, and -4) is:
= -800, -4, 1, 5, 52, 86
Find out more on ordering integers at brainly.com/question/12399107.
#SPJ1
n - 8 < -8
< is similar to = in this case
n < -8 + 8
n < 3
The answer would be bubble #3.
Answer:
x=7
Step-by-step explanation
left part + 0.006 = right part + 0.006
----> 0.1x = 0.08x+0.14
left part -0.08x =right part - 0.08x
----> 0.02x=0.14
x=7
-9T means -9 x T
So if T is equivalent to 4,
you should do:
-9 x 4 = -36
J= -36
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.