Question

Evaluate A + 3B if possible. HELP ASAP!

Answer 1

Answer:

Not possible.

Step-by-step explanation:

Addition of Matrix A and Matrix B is possible only if the order of matrix A is same as the order of matrix B.

Order of a matrix with $m$ rows and $n$ columns is $m\times n$.

Here, matrix A is $\left[\begin{array}{ccc}2&-4\\-4&10\\0&-8\end{array}\right]$

Matrix B is $\left[\begin{array}{ccc}0&-4&6\\2&-10&4\end{array}\right]$.

Multiplying a matrix by a constant doesn't change its order.

So, order of matrix A is $3\times 2$ as it has 3 rows and 2 columns.

The order of matrix 3B is $2\times 3$ as it has 2 rows and 3 columns.

Therefore, addition is not possible as the order is different.