Answer: The required matrix is
![T=\left[\begin{array}{ccc}-1&3\\2&4\end{array}\right] .](https://tex.z-dn.net/?f=T%3D%5Cleft%5B%5Cbegin%7Barray%7D%7Bccc%7D-1%263%5C%5C2%264%5Cend%7Barray%7D%5Cright%5D%20.)
Step-by-step explanation: We are given to find the transition matrix from the bases B to B' as given below :
B = {(-1,2), (3, 4)) and B' = {(1, 0), (0, 1)}.
Let us consider two real numbers a, b such that

Again, let us consider reals c and d such that

Therefore, the transition matrix is given by
![T=\left[\begin{array}{ccc}-1&3\\2&4\end{array}\right] .](https://tex.z-dn.net/?f=T%3D%5Cleft%5B%5Cbegin%7Barray%7D%7Bccc%7D-1%263%5C%5C2%264%5Cend%7Barray%7D%5Cright%5D%20.)
Thus, the required matrix is
![T=\left[\begin{array}{ccc}-1&3\\2&4\end{array}\right] .](https://tex.z-dn.net/?f=T%3D%5Cleft%5B%5Cbegin%7Barray%7D%7Bccc%7D-1%263%5C%5C2%264%5Cend%7Barray%7D%5Cright%5D%20.)
<span>three points are needed to fit the data.</span>
Answer:
132 ft squared
Step-by-step explanation:
One way is to divide the shape into a rectangle and a triangle, by drawing a vertical line.
This gives a rectangle that is 9 by 11, so has area 99.
The triangle has a base of 11 and height of 15 - 9 = 6.
So the area of the triangle = 1/2 x b x h = 1/2 x 11 x 6 = 33
So the total area is 99 + 33 = 132.
Chelsea has 55 art brushes. She has this manu because Monique has 5 necause 11x5 is 55. 55 plus Monique's 5 is 60 brushes in total. Have a nice day :)
Answer:
20 mangos
Step-by-step explanation:
1. Divide $600 by 12. Your answer should be $50. This means that every mango costs $50.
2. You now need to solve the expression: 1000 ÷ 50 which equals 20. This means that with $1000 Jane can buy 20 mangos.