Answer:
The correct option is (A).
Step-by-step explanation:
If the reduced row echelon form of the coefficient matrix of a linear system of equations in four different variables has a pivot, i.e. 1, in each column, then the reduced row echelon form of the coefficient matrix is say A is an identity matrix, here I₄, since there are 4 variables.
![\left[\begin{array}{cccc}1&0&0&0\\0&1&0&0\\0&0&1&0\\0&0&0&1\end{array}\right]](https://tex.z-dn.net/?f=%5Cleft%5B%5Cbegin%7Barray%7D%7Bcccc%7D1%260%260%260%5C%5C0%261%260%260%5C%5C0%260%261%260%5C%5C0%260%260%261%5Cend%7Barray%7D%5Cright%5D)
Then the corresponding augmented matrix [ A|B] , where the matrix is the representation of the linear system is AX = B, must be:
![\left[\begin{array}{ccccc}1&0&0&0&a\\0&1&0&0&b\\0&0&1&0&c\\0&0&0&1&d\end{array}\right]](https://tex.z-dn.net/?f=%5Cleft%5B%5Cbegin%7Barray%7D%7Bccccc%7D1%260%260%260%26a%5C%5C0%261%260%260%26b%5C%5C0%260%261%260%26c%5C%5C0%260%260%261%26d%5Cend%7Barray%7D%5Cright%5D)
Now the given linear system is consistent as the right most column of the augmented matrix is a linear combination of the columns of A as the reduced row echelon form of A has a pivot in each column.
Thus, the correct option is (A).
13500-1500= 12000/5=2400
12000-2400= 9600
$9600 most expensive painting
Answer:
Overshoot.
Step-by-step explanation:
Let us know the meaning of given words.
Logistic growth occurs when population reaches carrying capacity of its environment. It does not surpass carrying capacity.
When population surpasses carrying capacity of its environment then a crash or a die-off happens, which causes a decline in population density. This crash or die off is known as collapse. The consequences of overshoot is known as collapse.
In population dynamics overshoot occurs when a population surpasses its carrying capacity. Overshoot is a temporary condition.
Therefore, from above explanation we can see that overshoot is the correct answer for the given phenomenon.
Answer:
0-0
Step-by-step explanation:
I've got nothin i just need points to ask questions
Answer:
4⁷
Step-by-step explanation:
Rule of exponents is:
aˣ · aⁿ = a⁽ˣ ⁺ ⁿ⁾
4⁵ · 4² = 4⁽⁵ ⁺ ²⁾ = 4⁷
