Simplify the Matrix [[0,5],[6,7],[12,9],[15,10]]

Problem

[[0,5],[6,7],[12,9],[15,10]]

Solution

1. Identify the matrix and look for common factors among all entries.

2. Check for a greatest common divisor (GCD) for all elements in the matrix. The elements are 0, 5, 6, 7, 12, 9, 15, 10$.

3. Determine if any scalar can be factored out. Since the numbers 5 and 7 are prime and do not share factors with the other elements like 6 or 12 the GCD of all elements is 1

4. Conclude that the matrix is already in its simplest form as there are no common factors to factor out and no operations (like addition or multiplication) to perform.

Final Answer

[[0,5],[6,7],[12,9],[15,10]]=[[0,5],[6,7],[12,9],[15,10]]

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