Question

question 24 points 1

find \\(a - b\\).

\\a = \

$$\begin{bmatrix} 3 & 6 \\\\ 5 & 8 \\\\ -2 & 9 \\end{bmatrix}$$

\quad b = \

$$\begin{bmatrix} -6 & 1 \\\\ 0 & 9 \\\\ 8 & 3 \\end{bmatrix}$$

\\

• \\(\

$$\begin{bmatrix} 19 & 5 \\\\ 15 & -1 \\\\ -10 & 6 \\end{bmatrix}$$

\\)

• \\(\

$$\begin{bmatrix} 9 & 5 \\\\ 5 & -1 \\\\ -10 & 6 \\end{bmatrix}$$

\\)

Explanation:

Identify the given matrices

Using the Matrix Addition knowledge point

$$ A =
LATEXBLOCK0
, \quad B =
LATEXBLOCK1
$$

Perform element-wise subtraction

Using the Matrix Addition knowledge point

$$ A - B =
LATEXBLOCK2
$$

Simplify the elements

Using the Matrix Addition knowledge point

$$ A - B =
LATEXBLOCK3
$$

Answer:

• (A) \(

$$\begin{bmatrix} 19 & 5 \\ 15 & -1 \\ -10 & 6 \end{bmatrix}$$

\)

• **(B) \(

$$\begin{bmatrix} 9 & 5 \\ 5 & -1 \\ -10 & 6 \end{bmatrix}$$

\) (Correct answer)**