Answer:
B.The matrix must be of the same size in order to perform addition or subtraction.
Step-by-step explanation:
We are given that Ramone's wrote the following matrix equation
[tex]A+\left[\begin{array}{ccc}8\\-12\\3\end{array}\right]=\begin{bmatrix}0&18&-21\end{bmatrix}[/tex]
We have to explain why Ramone's equation has no solution
[tex]A=-\left[\begin{array}{ccc}8\\-12\\3\end{array}\right]+\begin{bmatrix}0&18&-21\end{bmatrix}[/tex]
Using subtraction property of equality
We can not solve because order of I matrix [tex]3\times 1[/tex] and order of second matrix [tex] 1\times 3[/tex].
If the order of two matrix are same then the matrix will be added or subtract.The necessary condition for addition or subtraction of matrix is order of matrix should be same.
Hence, option B is true.
Answer:B.The matrix must be of the same size in order to perform addition or subtraction.
