The product of the matrices is an identity matrix. Therefore, X and A are inverse of each other.
The matrices are given as:
![X = \left[\begin{array}{cc}-1&-3\\4&2\end{array}\right]](https://tex.z-dn.net/?f=X%20%3D%20%5Cleft%5B%5Cbegin%7Barray%7D%7Bcc%7D-1%26-3%5C%5C4%262%5Cend%7Barray%7D%5Cright%5D)
![A = \left[\begin{array}{cc}\frac 15&\frac 3{10}\\-\frac 25 &-\frac 1{10}\end{array}\right]](https://tex.z-dn.net/?f=A%20%3D%20%5Cleft%5B%5Cbegin%7Barray%7D%7Bcc%7D%5Cfrac%2015%26%5Cfrac%203%7B10%7D%5C%5C-%5Cfrac%2025%20%26-%5Cfrac%201%7B10%7D%5Cend%7Barray%7D%5Cright%5D)
To check the matrices are inverse, we calculate their products.
![A \times X = \left[\begin{array}{cc}\frac 15&\frac 3{10}\\-\frac 25 &-\frac 1{10}\end{array}\right] \times \left[\begin{array}{cc}-1&-3\\4&2\end{array}\right]](https://tex.z-dn.net/?f=A%20%5Ctimes%20X%20%3D%20%20%5Cleft%5B%5Cbegin%7Barray%7D%7Bcc%7D%5Cfrac%2015%26%5Cfrac%203%7B10%7D%5C%5C-%5Cfrac%2025%20%26-%5Cfrac%201%7B10%7D%5Cend%7Barray%7D%5Cright%5D%20%5Ctimes%20%5Cleft%5B%5Cbegin%7Barray%7D%7Bcc%7D-1%26-3%5C%5C4%262%5Cend%7Barray%7D%5Cright%5D)
Multiply the rows of A by the column of X.
This gives
![A \times X = \left[\begin{array}{cc}\frac 15 \times -1 + \frac{3}{10} \times 4&\frac 15 \times -3 + \frac{3}{10} \times 2\\ -\frac 25 \times -1 - \frac{1}{10} \times 4&-\frac 25 \times -3 + -\frac{1}{10} \times 2\end{array}\right]](https://tex.z-dn.net/?f=A%20%5Ctimes%20X%20%3D%20%20%5Cleft%5B%5Cbegin%7Barray%7D%7Bcc%7D%5Cfrac%2015%20%5Ctimes%20-1%20%2B%20%5Cfrac%7B3%7D%7B10%7D%20%5Ctimes%204%26%5Cfrac%2015%20%5Ctimes%20-3%20%2B%20%5Cfrac%7B3%7D%7B10%7D%20%5Ctimes%202%5C%5C%20-%5Cfrac%2025%20%5Ctimes%20-1%20-%20%5Cfrac%7B1%7D%7B10%7D%20%5Ctimes%204%26-%5Cfrac%2025%20%5Ctimes%20-3%20%2B%20-%5Cfrac%7B1%7D%7B10%7D%20%5Ctimes%202%5Cend%7Barray%7D%5Cright%5D)
![A \times X = \left[\begin{array}{cc}1&0\\0&1\end{array}\right]](https://tex.z-dn.net/?f=A%20%5Ctimes%20X%20%3D%20%5Cleft%5B%5Cbegin%7Barray%7D%7Bcc%7D1%260%5C%5C0%261%5Cend%7Barray%7D%5Cright%5D)
The product of A and X is an identity matrix.
This means that; both matrix are inverse of each other
Read more about matrix at:
brainly.com/question/4017205
Remember that pi=180,
so 180/6=30, 30*5=150,
what's tan 150?
Remember that 150 degrees is in the 2nd quadrant, and this is tangent, so it means the answer must be negative, because tan 150= - tan 30, and -tan30=-√3/3.
Answer: -√3/3.
Answer:
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Step-by-step explanation:
X= 270
simplify the equation using cross multiplication
Answer:
Step by step explanation:
