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The correct answer is 3.

In the above matrix, imagine the shapes in the left column cut in half, across the center. The middle and right columns make up the left and right side of the whole picture, respectively.

The correct answer is 3. In the above design, determine how the figures relate to each other, and apply this relationship to the row with the empty frame. Visualize how the objects might look when rotated, transformed or combined. Look at the top row. The left frame contains one yellow rectangle and two blue rectangles in the top-left corner of the frame. The middle frame contains one blue rectangle and two yellow rectangles on the right and bottom sides of the frame. The frame on the right combines both of the figures, containing all of the rectangles in their respective positions, colors, and sizes.

Look at the middle row. The left frame contains two yellow triangles and the middle frame contains three blue triangles. The frame on the right combines both figures together, including all of the triangles in their respective positions, colors, and sizes. The figures in the bottom row will exhibit the same relationship. The right figure will combine the left and middle figures together.

The right sides of both the left and middle frames contain wide arrows, while the left sides contain narrow arrows. We can eliminate answer choices B, D and E. We are left with answer choices A and C. The top-right corner of the left frame contains a yellow arrow, while the right side of the middle frame contains a blue arrow on top of a yellow arrow. Therefore, the right side of the empty frame will combine these figures together, and will contain a yellow arrow on top of a blue arrow on top of a yellow arrow. Answer choice C is the only answer choice which adheres to the above requirements and is the correct answer.

The correct answer is 4. 

This matrix contains rectangles in four shades: white, light grey, dark grey, and black. Every frame contains a light grey rectangle which is in a different position in each row or column. Each of the other three colours appears in two out of three of the frames in a row or column. In the columns, each colour, except for the light grey, always appears in the same position, while in the rows, the rectangles of the same colour are always in different positions.

You can eliminate answer (1) as it does not contain a light grey rectangle. Since in the third row (and in the third column), there are already two black rectangles, you can eliminate all the answer choices with black rectangles—(1), (2), and (4). Finally, you can eliminate answer (5) as its white and dark grey rectangles are in the wrong positions. The white rectangle should be in the left of the frame since it needs to keep its place from the right figure in the middle row, and the dark grey rectangle should be in the middle of the frame since this is its place from the right figure of the top row. Therefore, the correct answer is (3).