Answer:
The formula is not valid because the commutative property with respect to the matrix product operation is not fulfilled in the vector space of the real matrices.
Step-by-step explanation:
The formula is not valid because the commutative property with respect to the matrix product operation is not fulfilled in the vector space of the real matrices. That is, AB does not necessarily equal BA.
![A=\left[\begin{array}{ccc}1&0&0\\0&0&6\\0&8&0\end{array}\right] \\B=\left[\begin{array}{ccc}0&2&0\\6&0&0\\0&0&9\end{array}\right] \\(A -B) = \left[\begin{array}{ccc}1&-2&0\\-6&0&6\\0&8&-9\end{array}\right]\\\\(A + B) = \left[\begin{array}{ccc}1&2&0\\6&0&6\\0&8&9\end{array}\right]\\(A - B)(A + B) = \left[\begin{array}{ccc}-11&2&-12\\-6&36&54\\48&-72&-33\end{array}\right]\\A^2 - B^2 = \left[\begin{array}{ccc}-11&0&0\\0&36&0\\0&0&-33\end{array}\right]\\](https://tex.z-dn.net/?f=A%3D%5Cleft%5B%5Cbegin%7Barray%7D%7Bccc%7D1%260%260%5C%5C0%260%266%5C%5C0%268%260%5Cend%7Barray%7D%5Cright%5D%20%5C%5CB%3D%5Cleft%5B%5Cbegin%7Barray%7D%7Bccc%7D0%262%260%5C%5C6%260%260%5C%5C0%260%269%5Cend%7Barray%7D%5Cright%5D%20%5C%5C%28A%20-B%29%20%3D%20%5Cleft%5B%5Cbegin%7Barray%7D%7Bccc%7D1%26-2%260%5C%5C-6%260%266%5C%5C0%268%26-9%5Cend%7Barray%7D%5Cright%5D%5C%5C%5C%5C%28A%20%2B%20B%29%20%3D%20%5Cleft%5B%5Cbegin%7Barray%7D%7Bccc%7D1%262%260%5C%5C6%260%266%5C%5C0%268%269%5Cend%7Barray%7D%5Cright%5D%5C%5C%28A%20-%20B%29%28A%20%2B%20B%29%20%3D%20%5Cleft%5B%5Cbegin%7Barray%7D%7Bccc%7D-11%262%26-12%5C%5C-6%2636%2654%5C%5C48%26-72%26-33%5Cend%7Barray%7D%5Cright%5D%5C%5CA%5E2%20-%20B%5E2%20%3D%20%5Cleft%5B%5Cbegin%7Barray%7D%7Bccc%7D-11%260%260%5C%5C0%2636%260%5C%5C0%260%26-33%5Cend%7Barray%7D%5Cright%5D%5C%5C)
Step-by-step explanation:
first your going to break down your total then since you have nine balls of yarn you going to take out the 9.45
Answer:
Step-by-step explanation:
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The answer is A. x=4.
Start off by distributing the parentheses into the equation.
4x+2(x+6)=36
4x+2x+12=26
Combine like terms.
4x+2x=6x
6x+12=36
Now solve the equation as normal. Begin by subtracting 12 from both sides to isolate the variable.
6x+12=36
-12 -12
---------------
6x = 24
Divide 6 on both sides to find x.
6x=24
---- -----
6 6
x=4
The solution to the equation is 4.
