A=-2[[-6,4],[3,7],[12,10]] B=3[[-2,2,8],[8,5,6]]and D=-1[[-12,8],[6,14],[24,20]] are equal matrices ANSWERS a nd b are equal b a
nd c are equal c and d are equal d and a are equal
1 answer:
Answer:
<h2>
D and A are equal</h2>
Step-by-step explanation:
Two matrices A and B are said to be equal if both matrices have the same number of rows and columns. Given the following matrices
![A = -2\left[\begin{array}{ccc}-6&4\\3&7\\12&10\end{array}\right] \\multiplying\ the \ matrix\ through\ by\ -2\ will\ give\\A = \left[\begin{array}{ccc}12&-8\\-6&-14\\-24&-20\end{array}\right] \\\\\\B =3 \left[\begin{array}{ccc}-2&2&8\\8&5&6\end{array}\right] \\B = \left[\begin{array}{ccc}-6&6&24\\24&15&18\end{array}\right] \\\\\\D = \left[\begin{array}{ccc}12&-8\\-6&-14\\-24&-20\end{array}\right]](https://tex.z-dn.net/?f=A%20%3D%20-2%5Cleft%5B%5Cbegin%7Barray%7D%7Bccc%7D-6%264%5C%5C3%267%5C%5C12%2610%5Cend%7Barray%7D%5Cright%5D%20%5C%5Cmultiplying%5C%20the%20%5C%20matrix%5C%20through%5C%20by%5C%20-2%5C%20will%5C%20give%5C%5CA%20%3D%20%5Cleft%5B%5Cbegin%7Barray%7D%7Bccc%7D12%26-8%5C%5C-6%26-14%5C%5C-24%26-20%5Cend%7Barray%7D%5Cright%5D%20%5C%5C%5C%5C%5C%5CB%20%3D3%20%5Cleft%5B%5Cbegin%7Barray%7D%7Bccc%7D-2%262%268%5C%5C8%265%266%5Cend%7Barray%7D%5Cright%5D%20%5C%5CB%20%3D%20%5Cleft%5B%5Cbegin%7Barray%7D%7Bccc%7D-6%266%2624%5C%5C24%2615%2618%5Cend%7Barray%7D%5Cright%5D%20%5C%5C%5C%5C%5C%5CD%20%3D%20%5Cleft%5B%5Cbegin%7Barray%7D%7Bccc%7D12%26-8%5C%5C-6%26-14%5C%5C-24%26-20%5Cend%7Barray%7D%5Cright%5D)
From the above matrices, it can be seen that matrix A and C both has 3 rows and 2 columns each which matrix b has 2 rows and 3 columns.
Based on the conclusion, it can be seen that matrices A and D are equal since they have the same number of rows and columns
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