If a matrix is filled with numbers in a spiral order starting from 1, what is th

₹0.0

Question: If a matrix is filled with numbers in a spiral order starting from 1, what is the value at the center of a 5x5 matrix?

Options:

Correct Answer: 15

Solution:

In a 5x5 spiral matrix, the center value is 13.

If a matrix is filled with numbers in a spiral order starting from 1, what is the value at the center of a 5x5 matrix?

If a matrix is filled with numbers in a spiral order starting from 1, what is the value at the center of a 5x5 matrix?

Step 1: Understand that a 5x5 matrix has 5 rows and 5 columns.
Step 2: Visualize how numbers are filled in a spiral order, starting from 1 at the top left corner.
Step 3: Fill the first row from left to right: 1, 2, 3, 4, 5.
Step 4: Fill the last column from top to bottom: 6, 7, 8, 9.
Step 5: Fill the last row from right to left: 10, 11, 12, 13, 14.
Step 6: Fill the first column from bottom to top: 15, 16, 17.
Step 7: Fill the remaining center of the matrix: 18, 19, 20, 21, 22, 23, 24, 25.
Step 8: Identify the center of the 5x5 matrix, which is the 3rd row and 3rd column.
Step 9: The center value is 13.

Spiral Matrix Construction – Understanding how to fill a matrix in a spiral order, starting from the top-left corner and moving right, down, left, and up in a repeating pattern.
Matrix Indexing – Knowledge of how to identify the center of a matrix, particularly in odd-dimension matrices like 5x5.