Question

There are __________ total pixels in a 1024 x 1024 matrix.

1. 2048
2. 524,288
3. more than 1 million
4. more than 2 million

Answer 1

There are 1,048,576 total number of pixels in a 1024 x 1024 matrix.

Thus option 3 is correct.

Step-by-step explanation:

A 1024 x 1024 matrix represents an array with 1024 rows and 1024 columns. To find the total number of pixels in this matrix, you multiply the number of rows by the number of columns.

This calculation is done by multiplying 1024 (rows) by 1024 (columns), resulting in 1,048,576. Each pixel represents a unique point in the matrix, and the total count reflects the number of individual units comprising the entire matrix.

In mathematical terms, the formula used here is simply:

`\[ \text{Total pixels} = \text{Number of rows} * \text{Number of columns} \]`

which translates to

`\[ \text{Total pixels} = 1024 * 1024 = 1,048,576 \]`

This means there are precisely 1,048,576 pixels in a 1024 x 1024 matrix. Each of these pixels contributes to the visual representation and content of the matrix, forming a grid of unique elements that can store or display information in various applications, such as digital images or computer graphics.

Therefore option 3 is correct.