Please give me only correct answer.Someone give me incorrect solution.Otherwise i dislike. The covariance matrix of an image with three spectral components is shown below. Let x₁, x₂, and x denote the spectral components of each pixel in the image. Find a new variable of the form y₁ = C₁x₁ + ₂x₂ + 3x3 that has maximumpossible variance, subject to the constraint that c+c+c=1. What percentage of the total variance in the data is explained by y₁?27.22 19.55 6.00S= 19.55 21.88 13.366.00 13.36 25.32Which of the following could be the new variable y, ?OA. Y₁ = -0.56x₁ +0.06x₂ -0.83x3OB. y₁ = -0.54x₁ -0.78x2 +0.32x3OC. y₁ = 0.62x, +0.62x₂ +0.62x3OD. y₁=0.54x₁ -0.78x2 +0.32%EO E. y₁ = 0.54x, -0.78x2 -0.32%y₁ = 0.62x₁ +0.63x2 +0.47x3OG. y₁=0.56x₁ +0.06x2 -0.83xgOH. y₁=0.62x₁ +0.63x₂ -0.47x3About % of the total variance in the data is explained by y₁(Round to the nearest tenth as needed.)

Answered: Image /qna-images/answer/dc887aee-b49e-4603-b3a8-c3ab58c26094.jpg

27.22 19.55 6.00 S 19.55 21.88 13.36 6.00 13.36 25.32 "hich of the following could be the new variable y, ? A. Y₁ = -0.56x₁ +0.06x2 -0.83x3 C. y₁ = 0.62x, +0.62x₂ +0.62x3 E. y₁=0.54x, -0.78x₂-0.32x3 G. y₁=0.56x, +0.06x2 -0.83x3 Dout% of the total variance in the data is explained by y₁. tound to the nearest tenth as needed.) B. y₁ = -0.54x, -0.78x₂ +0.32x3 OD. y₁=0.54x, -0.78x₂ +0.32x3 F. y₁=0.62x₁ +0.63x₂ +0.47x3 OH. y₁=0.62x₁ +0.63x₂ -0.47x3