Simplify the Matrix [[0.2672612],[0.8017837],[0.5345224]]

Problem

[[0.2672612],[0.8017837],[0.5345224]]

Solution

1. Identify the relationship between the elements of the vector by dividing each entry by the smallest non-zero value, 0.2672612

2. Calculate the ratios for each row: 0.2672612/0.2672612=1 0.8017837/0.2672612≈3 and 0.5345224/0.2672612≈2

3. Recognize that these values are approximations of 1/√(,14) 3/√(,14) and 2/√(,14) which represents a normalized vector in the direction of [[1],[3],[2]]

4. Factor out the common scalar 0.2672612 to express the matrix in a simpler integer-based form.

Final Answer

[[0.2672612],[0.8017837],[0.5345224]]≈0.2672612*[[1],[3],[2]]

Want more problems? Check here!