Significance:
The profile matrix (also called a Position Weight Matrix, or PWM) is the statistical backbone of motif representation in bioinformatics — it's how tools like MEME and JASPAR represent transcription factor binding sites, and how you'd build a simple sequence classifier. The consensus string is the "most likely" sequence a PWM represents.
Statement
Given a collection of DNA strings, all of the **same length**, construct: 1. The **profile matrix**: for each of the 4 nucleotides (in row order A, C, G, T) and each column position, the count of that nucleotide across all input sequences at that position. 2. The **consensus string**: at each position, the nucleotide with the highest count in that column (if there's a tie, any of the tied nucleotides may be output).