Problem 55260. Create block matrix of integers (j+k-1) - Part II

• Created by Matt Tearle
• Appears in Are You Smarter Than a MathWorker?

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Given m, n, p, and q, create an m-by-n matrix made up of submatrices, each sized p-by-q (if possible - the last row and column of blocks may be smaller). The elements of the (j,k)th block all have the same value: (j+k-1).

For example, if m = 4, n = 7, p = 2, and q = 3, the matrix is:

You can assume m, n, p, and q are all positive integers. (They can have the value 1, however.) As in the illustration above, m may or may not be divisible by p, and n may or may not be divisible by q. It is even possible for m < p or n < q. The resulting matrix will always be m-by-n.

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56.25% Correct | 43.75% Incorrect

• 160 Solutions
• 88 Solvers

Last Solution submitted on Feb 23, 2025

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