Simplify the Matrix [[5x,9x,7x],[6y,9y,8xy],[6,7yx,11x]]

Problem

[[5*x,9*x,7*x],[6*y,9*y,8*x*y],[6,7*y*x,11*x]]

Solution

1. Identify common factors within each row of the matrix to see if any scalar can be factored out.

2. Factor out the variable x from the first row, as it is a common factor for all three elements 5*x 9*x and 7*x

3. Factor out the variable y from the second row, as it is a common factor for 6*y 9*y and 8*x*y

4. Observe the third row and note that there is no common factor shared by all three elements 6 7*y*x and 11*x

5. Rewrite the matrix in its simplified form by expressing the row-wise factors as external multipliers if desired, or simply acknowledge that the expression is already in its most standard simplified form as a single matrix.

Final Answer

[[5*x,9*x,7*x],[6*y,9*y,8*x*y],[6,7*y*x,11*x]]=[[5*x,9*x,7*x],[6*y,9*y,8*x*y],[6,7*x*y,11*x]]

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