Simplify the Matrix [[3x,4y,15],[4x,3y,12]]

Problem

[[3*x,4*y,15],[4*x,3*y,12]]

Solution

1. Identify the given matrix. The expression is a 2×3 matrix with entries involving variables x y and constants.

2. Check for common factors. Examine each row and column to see if a scalar can be factored out of the entire matrix or if any row operations are requested.

3. Analyze for simplification. In this specific matrix, there are no common factors shared by all entries (3*x,4*y,15,4*x,3*y,12.

4. Conclude the status of the expression. Since there are no common variables or numerical factors across all elements, and no specific operation (like row reduction to echelon form) was requested, the matrix is already in its simplest form.

Final Answer

[[3*x,4*y,15],[4*x,3*y,12]]=[[3*x,4*y,15],[4*x,3*y,12]]

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