Two matrices of same order are said to be equal if the …….. Of the matrices are equal.

Options

A. Corresponding elements
B. Diagonal elements
C. only non-diagonal elements
D. None of the above

Answer

To determine when two matrices of the same order are equal, we need to follow these steps:

### Step-by-Step Solution:

1. **Understanding Matrix Order**:
- First, we need to recognize what is meant by the order of a matrix. The order of a matrix is defined by the number of rows and columns it contains. For example, a 2x2 matrix has 2 rows and 2 columns.

2. **Defining Two Matrices**:
- Let’s consider two matrices A and B of the same order, specifically 2x2 matrices.
- Matrix A can be represented as:
\[ A = \begin{pmatrix} a & b \\ c & d \end{pmatrix} \]
- Matrix B can be represented as:
\[ B = \begin{pmatrix} p & q \\ r & s \end{pmatrix} \]

3. **Condition for Equality**:
- For matrices A and B to be equal, each corresponding element in the matrices must be equal. This means:
- \( a = p \) (the element in the first row, first column)
- \( b = q \) (the element in the first row, second column)
- \( c = r \) (the element in the second row, first column)
- \( d = s \) (the element in the second row, second column)

4. **Conclusion**:
- Therefore, we can state that two matrices of the same order are said to be equal if the **corresponding elements** of the matrices are equal.

### Final Answer:
Two matrices of the same order are said to be equal if the **corresponding elements** of the matrices are equal.

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