Simplify the Matrix [[200,350,450],[58,39,19]]

Problem

[[200,350,450],[58,39,19]]

Solution

1. Identify the common factors for each row to see if the matrix can be expressed as a scalar multiple of a simpler matrix.

2. Find the greatest common divisor (GCD) for the elements in the first row: 200 350 and 450 The GCD is 50

3. Find the greatest common divisor (GCD) for the elements in the second row: 58 39 and 19 Since 19 is a prime number and does not divide 58 or 39 the GCD is 1

4. Factor out the scalar 50 from the first row if desired, though in matrix simplification, "simplifying" usually refers to performing row reduction or simply identifying if a single scalar can be factored out of the entire matrix.

5. Determine the GCD of all elements in the matrix: 200, 350, 450, 58, 39, 19.T*h*e*G*C*D*o*ƒ*a*l*l*e*l*e*m*e*n*t*s(i)*s()$.

6. Conclude that since there is no common scalar factor greater than 1 for all entries and no specific operation like row reduction was requested, the matrix is already in its simplest integer form.

Final Answer

[[200,350,450],[58,39,19]]=[[200,350,450],[58,39,19]]

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