Write the additive inverse of matrices A,B, and C
where `A=[6,-5], B=[{:(,-2,0),(,4,-1):}] and C=[{:(,-7),(,4):}]`

Answer

To find the additive inverse of the matrices A, B, and C, we need to understand that the additive inverse of a matrix is obtained by changing the sign of each element in the matrix.

Let's solve the problem step by step.

### Step 1: Identify the matrices
- Matrix A:
\[ A = \begin{bmatrix} 6 & -5 \end{bmatrix} \]
- Matrix B:
\[ B = \begin{bmatrix} -2 & 0 \\ 4 & -1 \end{bmatrix} \]
- Matrix C:
\[ C = \begin{bmatrix} -7 \\ 4 \end{bmatrix} \]

### Step 2: Find the additive inverse of Matrix A
To find the additive inverse of matrix A, we change the sign of each element:
\[ -A = \begin{bmatrix} -6 & 5 \end{bmatrix} \]

### Step 3: Find the additive inverse of Matrix B
For matrix B, we also change the sign of each element:
\[ -B = \begin{bmatrix} 2 & 0 \\ -4 & 1 \end{bmatrix} \]

### Step 4: Find the additive inverse of Matrix C
For matrix C, we change the sign of each element:
\[ -C = \begin{bmatrix} 7 \\ -4 \end{bmatrix} \]

### Final Result
The additive inverses of the matrices A, B, and C are:
- Additive Inverse of A:
\[ -A = \begin{bmatrix} -6 & 5 \end{bmatrix} \]
- Additive Inverse of B:
\[ -B = \begin{bmatrix} 2 & 0 \\ -4 & 1 \end{bmatrix} \]
- Additive Inverse of C:
\[ -C = \begin{bmatrix} 7 \\ -4 \end{bmatrix} \]