Select the figure from the options that can replace the question mark:

Step-by-Step Solution:

The matrix operates on a row-by-row mathematical pattern based on the total number of small squares within each cell.

1. Analyze Row 1 (Solid Black Squares):

• Box 1: $4$ squares
• Box 2: $3$ squares
• Box 3: $2$ squares
• Total for Row 1: $4 + 3 + 2 = \mathbf{9\text{ squares}}$

2. Analyze Row 3 (Empty/Outline Squares):

Let's look at the third row to confirm the target constant:

• Box 1: $3$ squares
• Box 2: $2$ squares
• Box 3: $4$ squares
• Total for Row 3: $3 + 2 + 4 = \mathbf{9\text{ squares}}$

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3. Apply the Pattern to Row 2 (Lined/Shaded Squares):

Since the total number of small squares in every horizontal row must equal 9:

• Box 1: $2$ squares
• Box 2: $4$ squares
• Box 3 (?): Must contain $X$ squares

$2 + 4 + X = 9$

$6 + X = 9 \implies X = 3\text{ squares}$

Looking closely at the options for a box with exactly 3 lined squares, Option 1 matches this requirement perfectly.