Find the orders of the matrics `A = [(6,5,1),(5,-3,1),(5,2,-4)]` and B = `[(7,9),(14,6)] `

Answer

To find the orders of the matrices A and B, we need to determine the number of rows and columns in each matrix.

### Step 1: Identify the order of matrix A

Matrix A is given as:
\[ A = \begin{pmatrix} 6 & 5 & 1 \\ 5 & -3 & 1 \\ 5 & 2 & -4 \end{pmatrix} \]

1. **Count the number of rows**:
- The matrix A has 3 horizontal lines (rows).

2. **Count the number of columns**:
- The matrix A has 3 vertical lines (columns).

Thus, the order of matrix A is:
\[ \text{Order of A} = 3 \times 3 \]

### Step 2: Identify the order of matrix B

Matrix B is given as:
\[ B = \begin{pmatrix} 7 & 9 \\ 14 & 6 \end{pmatrix} \]

1. **Count the number of rows**:
- The matrix B has 2 horizontal lines (rows).

2. **Count the number of columns**:
- The matrix B has 2 vertical lines (columns).

Thus, the order of matrix B is:
\[ \text{Order of B} = 2 \times 2 \]

### Final Answer

- The order of matrix A is \( 3 \times 3 \).
- The order of matrix B is \( 2 \times 2 \).

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