Matrix Scalar Product

Matrix Scalar Product

Problem Statement:

Given matrix A and integer B, return new matrix where each element is multiplied by B.

Examples:

Example 1:

Input: A = [[1,2],3,4], B = 2

Output: [[2,4],6,8]

Approach:

Iterate through all elements, multiply by scalar.

Time Complexity:

• Time = O(N×M), Space = O(N×M)

JavaScript Code:

function scalarMultiply(A, B) {
    return A.map(row => row.map(val => val * B));
}

Key Takeaways:

1. Basic matrix operation.
2. Apply scalar to each element.
3. Can be done in-place or new matrix.
4. Foundation for matrix transformations.
5. Simple but essential operation.