In linear algebra, the rank of a matrix
A
A is the dimension of the vector space generated (or spanned) by its columns.[1] This corresponds to the maximal number of linearly independent columns of
A
A. This, in turn, is identical to the dimension of the vector space spanned by its rows.[2] Rank is thus a measure of the "nondegenerateness" of the system of linear equations and linear transformation encoded by
A
A. There are multiple equivalent definitions of rank. A matrix's rank is one of its most fundamental characteristics.
The rank is commonly denoted by
rank
(
A
)
{\displaystyle \operatorname {rank} (A)} or
rk
(
A
)
{\displaystyle \operatorname {rk} (A)}; sometimes the parentheses are not written, as in
rank
A
{\displaystyle \operatorname {rank} A}.
Answer:
$48.87
Step-by-step explanation:
Let the deposited amount between the March 15th and the March 20th be x
Balance on 15th march = $56.75
The bank returned all the cancelled checks but too. One check was for $5 and the other was for $13.25
And he also deposited x amount
After deposits and deductions
So, balance = 56.75 +x - (13.25+5)
The new balance on 20th march = $87.37
⇒
⇒
⇒
⇒
⇒
Hence Carlos deposited $48.87 in his account between the March 15th and the March 20th.
It is given that the bacteria in a colony doubles every 8 hours.
To find the population of bacteria 24 hours from now, we need to find the population of bacteria after every 8 hours.
The present population of the bacteria is 9315.
After 8 hours, the bacteria becomes double. So, the number of bacteria becomes 9315 x 2 = 18630.
Again after 8 hours, the bacteria becomes 18630 x 2 = 37260.
Again after 8 hours, the bacteria becomes 37260 x 2 = 74520.
Thus, after 24 hours from now, the population of the bacteria is 74520.
Answer:
y = 2
Step-by-step explanation:
varies inversely
xy = k
y = 7 when x = 2/3
(2/3)7 = k
14/3 = k
k = 14/3
--------------------
find y when x = 7/3
(7/3)y = 14/3
multiply both sides by 3/7
y = 14/3 * 3/7
y = 2
<span>solve <span><span>3≤−3x+6<15</span><span>3≤−3x+6<15</span></span></span>
Answer: (−3,1](−3,1]
<span>Approximate Form: <span><span>(<span>−3,1</span>]</span></span></span>
