1 answer:
![2A = \left[\begin{array}{ccc}8&18\\26&10\end{array}\right]](https://tex.z-dn.net/?f=2A%20%3D%20%5Cleft%5B%5Cbegin%7Barray%7D%7Bccc%7D8%2618%5C%5C26%2610%5Cend%7Barray%7D%5Cright%5D)
Step-by-step explanation:
Given
![A = \left[\begin{array}{ccc}4&9\\13&5\end{array}\right]](https://tex.z-dn.net/?f=A%20%3D%20%5Cleft%5B%5Cbegin%7Barray%7D%7Bccc%7D4%269%5C%5C13%265%5Cend%7Barray%7D%5Cright%5D)
We have to find 2A which means all the elements of the matrix have to be multiplied by the integer 2
So,
![2A = 2\left[\begin{array}{ccc}4&9\\13&5\end{array}\right]\\= \left[\begin{array}{ccc}2(4)&2(9)\\2(13)&2(5)\end{array}\right]\\=\left[\begin{array}{ccc}8&18\\26&10\end{array}\right]](https://tex.z-dn.net/?f=2A%20%3D%202%5Cleft%5B%5Cbegin%7Barray%7D%7Bccc%7D4%269%5C%5C13%265%5Cend%7Barray%7D%5Cright%5D%5C%5C%3D%20%5Cleft%5B%5Cbegin%7Barray%7D%7Bccc%7D2%284%29%262%289%29%5C%5C2%2813%29%262%285%29%5Cend%7Barray%7D%5Cright%5D%5C%5C%3D%5Cleft%5B%5Cbegin%7Barray%7D%7Bccc%7D8%2618%5C%5C26%2610%5Cend%7Barray%7D%5Cright%5D)
Hence,
![2A = \left[\begin{array}{ccc}8&18\\26&10\end{array}\right]](https://tex.z-dn.net/?f=2A%20%3D%20%5Cleft%5B%5Cbegin%7Barray%7D%7Bccc%7D8%2618%5C%5C26%2610%5Cend%7Barray%7D%5Cright%5D)
Keywords: Matrices, Multiplication of matrices
Learn more about matrices at:
#LearnwithBrainly
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