The pennies placed on the squares D, E, F, G, and H will be 8, 16, 32, 64, and 128 pennies.
Given
There are 8 rows and 8 columns, which means 64 squares on a chessboard.
We are placing 1 penny on Row 1 Column A, 2 pennies on Row 1 Column B, 4 pennies on Row 1 Column C, and so on.
<h3>What is the matrix?</h3>
A matrix (plural matrices) is a rectangular array or table of numbers, symbols, or expressions, arranged in rows and columns, which is used to represent a mathematical object or a property of such an object.
So, we are increasing the number of pennies twice the amount of the previous square.
So, the pennies on next squares will be,
![\rm Column \ D = 2\times 4=8\\\\Column \ E = 2\times 9=16\\\\Column \ F= 2\times 16=32\\\\Column \ G= 2\times 32=64\\\\Column \ H = 2\times 64=128](https://tex.z-dn.net/?f=%5Crm%20Column%20%5C%20D%20%3D%202%5Ctimes%204%3D8%5C%5C%5C%5CColumn%20%5C%20E%20%3D%202%5Ctimes%209%3D16%5C%5C%5C%5CColumn%20%5C%20F%3D%202%5Ctimes%2016%3D32%5C%5C%5C%5CColumn%20%5C%20G%3D%202%5Ctimes%2032%3D64%5C%5C%5C%5CColumn%20%5C%20H%20%3D%202%5Ctimes%2064%3D128)
Therefore, the pennies placed on the squares D, E, F, G, and H will be 8, 16, 32, 64, and 128 pennies.
For more details about the matrix refer to the link:
brainly.com/question/4492099