Question

Fill in the missing numbers.
[3 3, 1 5] - [-6 -5, -5 -6] = [__ -2, -4 __]

Answer 1

To solve for the missing numbers in the equation

\[
[3 3, 1 5] - [-6 -5, -5 -6] = [__ -2, -4 __],
\]

we start by performing the subtraction between the two matrices.

### Step 1: Perform Matrix Subtraction

Let's break it down component-wise:

- The first element:
\[
3 - (-6) = 3 + 6 = 9
\]

- The second element:
\[
3 - (-5) = 3 + 5 = 8
\]

- The third element:
\[
1 - (-5) = 1 + 5 = 6
\]

- The fourth element:
\[
5 - (-6) = 5 + 6 = 11
\]

### Step 2: Construct the Result Matrix

Putting it all together, we have:
\[
[9, 8] \quad \text{and} \quad [6, 11].
\]

Thus, the overall result of the subtraction is:
\[
\begin{bmatrix}
9 & 8 \\
6 & 11
\end{bmatrix}.
\]

### Step 3: Match with Given Matrix

Now, we want to see how this result matches with
\[
[__ -2, -4 __].
\]

According to the given structure, let’s assume

- The first element of the resulting matrix is \(x\), and the second element is \(-2\). Therefore, we have:
\[
x = 9 \quad \text{and} \quad -2 = 8.
\]

This means the first row becomes \( [9, -2] \).

For the second row:

- The first element of the second row should match with \(-4\) and therefore we have:
\[
-4 = 6 \quad \text{and} \quad \text{the fourth element} = 11.
\]

This gives us the second row as \([-4, 11].\)

### Conclusion

The filled matrix with the missing values is:
\[
[9, -2, -4, 11],
\]
where the missing numbers in the original structure are:

- The first missing number is **9.**
- The second missing number is **11.**

Hence, the final answer is:

\[
[9, -2], [-4, 11].
\]

The original matrix can thus be represented as:
\[
[9 -2, -4 11].
\]

So the missing numbers are \(9\) and \(11\).