1) Fill in the missing numbers. $$ \left[\begin{array}{cc}2 & 8 \ -3 & 2 \ 0 & -9\end{array} ight]-\left[\begin{array}{rr}5 & 6 \ 5 & 3 \ 9 & 0\end{array} ight]=\left[\begin{array}{ll}\square \ \square \ \square & \square\end{array} ight. $$

Question

1) Fill in the missing numbers. $$ \left[\begin{array}{cc}2 & 8 \ -3 & 2 \ 0 & -9\end{array}ight]-\left[\begin{array}{rr}5 & 6 \ 5 & 3 \ 9 & 0\end{array}ight]=\left[\begin{array}{ll}\square \ \square \ \square & \square\end{array}ight. $$

UpStudy AI · Accepted Answer

To solve the matrix subtraction problem, we'll subtract the corresponding elements of the two matrices.

Given:

$$
\begin{array}{cc}
2 & 8 \
-3 & 2 \
0 & -9
\end{array}
-
\begin{array}{cc}
5 & 6 \
5 & 3 \
9 & 0
\end{array}
=
\begin{array}{cc}
\square & \square \
\square & \square \
\square & \square
\end{array}
$$

**Step-by-Step Subtraction:**

1. **First Row:**
   $$
   2 - 5 = -3 \
   8 - 6 = 2
   $$
   So, the first row of the result is $$[-3 \quad 2]$$.

2. **Second Row:**
   $$
   -3 - 5 = -8 \
   2 - 3 = -1
   $$
   So, the second row of the result is $$[-8 \quad -1]$$.

3. **Third Row:**
   $$
   0 - 9 = -9 \
   -9 - 0 = -9
   $$
   So, the third row of the result is $$[-9 \quad -9]$$.

**Final Result:**

$$
\begin{array}{cc}
-3 & 2 \
-8 & -1 \
-9 & -9
\end{array}
$$

Or, using the matrix notation:

$$
\left[\begin{array}{cc}
-3 & 2 \
-8 & -1 \
-9 & -9
\end{array}\right]
$$
$$ \left[\begin{array}{cc} -3 & 2 \ -8 & -1 \ -9 & -9 \end{array}\right] $$

1) Fill in the missing numbers. \( \left[\begin{array}{cc}2 & 8 \\ -3 & 2 \\ 0 & -9\end{array}\right]-\left[\begin{array}{rr}5 & 6 \\ 5 & 3 \\ 9 & 0\end{array}\right]=\left[\begin{array}{ll}\square \\ \square \\ \square & \square\end{array}\right. \)

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