The order of `[x,y,z],[(a,h,g),(h,b,f),(g,f,c)],[(x),(y),(z)]` is
(A) `3xx1`
(B) `1xx1`
(C) `1xx3`
(D) `3xx3`

Options

A. `3 xx 1`
B. `1 xx 1`
C. `1 xx 3`
D. `3 xx 3`

Explanation

To determine the order of the given matrices and the resultant matrix after multiplication, we will analyze the orders of each matrix step by step.

### Step 1: Identify the orders of the matrices
1. The first matrix is \([x, y, z]\). This is a row matrix with 1 row and 3 columns. Therefore, its order is \(1 \times 3\).
2. The second matrix is \(\begin{pmatrix} a & h & g \\ h & b & f \\ g & f & c \end{pmatrix}\). This is a square matrix with 3 rows and 3 columns. Therefore, its order is \(3 \times 3\).
3. The third matrix is \(\begin{pmatrix} x \\ y \\ z \end{pmatrix}\). This is a column matrix with 3 rows and 1 column. Therefore, its order is \(3 \times 1\).

### Step 2: Multiply the first two matrices
...