IfAis a `3 xx 2` matrix, B is a `3 xx 3` matrix and C is a `2 xx 3` matrix, then the elements in A, B and C are respectively

Options

A. 6,9,8
B. 6,9,6
C. 9,6,6
D. 6,6,9

Answer

To find the number of elements in the matrices A, B, and C, we will follow these steps:

### Step 1: Determine the dimensions of matrix A
Matrix A is given as a `3 x 2` matrix. This means it has 3 rows and 2 columns.

**Calculation:**
Number of elements in A = Number of rows × Number of columns = 3 × 2 = 6

### Step 2: Determine the dimensions of matrix B
Matrix B is given as a `3 x 3` matrix. This means it has 3 rows and 3 columns.

**Calculation:**
Number of elements in B = Number of rows × Number of columns = 3 × 3 = 9

### Step 3: Determine the dimensions of matrix C
Matrix C is given as a `2 x 3` matrix. This means it has 2 rows and 3 columns.

**Calculation:**
Number of elements in C = Number of rows × Number of columns = 2 × 3 = 6

### Final Summary
- Number of elements in matrix A = 6
- Number of elements in matrix B = 9
- Number of elements in matrix C = 6

Thus, the final answer is:
- A has 6 elements,
- B has 9 elements,
- C has 6 elements.