Answer:
The property shown in matrix addition given is "Additive Inverse Property"
Step-by-step explanation:
First of all lets define what a matrix is.
A matrix is an array of rows and columns that consists of numbers. There are several types of matrices. The one in our question is a row matrix which consists of only one row.
There are several addition properties for matrices.
One of them is additive inverse property. The additive inverse of a matrix consists of the same elements but their signs are changed.
Additive inverse property states that the sum of a matrix and its additive inverse is a zero matrix.
![\left[\begin{array}{ccc}-6&15&-2\end{array}\right] + \left[\begin{array}{ccc}6&-15&2\end{array}\right] = \left[\begin{array}{ccc}0&0&0\end{array}\right]](https://tex.z-dn.net/?f=%5Cleft%5B%5Cbegin%7Barray%7D%7Bccc%7D-6%2615%26-2%5Cend%7Barray%7D%5Cright%5D%20%2B%20%5Cleft%5B%5Cbegin%7Barray%7D%7Bccc%7D6%26-15%262%5Cend%7Barray%7D%5Cright%5D%20%3D%20%5Cleft%5B%5Cbegin%7Barray%7D%7Bccc%7D0%260%260%5Cend%7Barray%7D%5Cright%5D)
Hence,
The property shown in matrix addition given is "Additive Inverse Property"
Answer:x= -12
Step-by-step explanation:
Answer:
Step-by-step explanation:
y varies directly as x
It means y=kx
y=18 when x=5
y=kx
18=k5
k=18/5
y=? When x=11
y=ky
Substitute the value of k
y=18/5(11)
=18×11/5
=198/5
=39.5
Answer:
30=30
Step-by-step explanation:
First, do the multiplication in the parenthesis. Then multiply the answer by 2. Do the same on the other side. Hope it helps!
Answer:
see below
Step-by-step explanation:
We have two wholes shaded and 1 of 4 shaded in the third circle
mixed number
2 + 1/4 = 2 1/4
Each circle is divided into 4 parts
count the number of shaded parts
There are 9 shaded parts
Since the circles are divided into 4 parts, that goes into the denominator
Improper fraction
9/4