Simplify the Matrix [[-1,0,1],[2,2,2]]

Problem

[[−1,0,1],[2,2,2]]

Solution

1. Identify the given matrix. The matrix is a 2×3 matrix with entries (a_11)=−1 (a_12)=0 (a_13)=1 (a_21)=2 (a_22)=2 and (a_23)=2

2. Check for possible simplifications. Simplification of a single matrix usually involves factoring out a common scalar from all entries if one exists.

3. Analyze the entries. The first row contains −1,0,1 which have no common factor other than 1 or −1 The second row contains 2, 2, 2,w*h*i*c*h*h*a*s(a)*c*o*m*m*o*n*ƒ*a*c*t*o*r*o*ƒ$.

4. Determine if a global scalar can be factored out. Since there is no common factor shared by all six elements of the matrix (other than 1, the matrix cannot be simplified further by scalar factoring.

5. Conclude that the matrix is already in its simplest form.

Final Answer

[[−1,0,1],[2,2,2]]=[[−1,0,1],[2,2,2]]

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