Question

How do you check if two matrices are the same?

Answer 1

Explanation of conditions of same matrices:

There are 3 conditions which needs to be satisfy for two matrices to be same:

1. Each matrix should have the same number of rows.

2. Each matrix should have the same number of columns.

3. Corresponding elements within each matrix should be equal.

Example:

$$\begin{gathered} A=\left[\begin{array}{cc}1& 3\\ 4& 5\end{array}\right] \\ B=\left[\begin{array}{cc}1& 3\\ 4& 5\end{array}\right] \end{gathered}$$

Number of row of matrices $A$and $B=2$

Number of column of matrices $A$and $B=2$

All the corresponding elements are the same .

Therefore, $A=B$

Hence, The two matrices will be same if they satisfy all the conditions.