Consider the following Gauss-Jordan reduction: Find E₁ = E₂ = E3 = E₁ = JL U Write A as a product A = E₁¹E¹E¹E¹ of elementary matrices: 136 -45 07 0 0 1 -27 9 136 -45 0 0 -27 9 000 000 000 A 1 0 0 -27 9 0→ -3 1 -3 1 0 ----- 0 0 1 0 0 1 07 1 0 000 1 0 01 -27 9 0 E₁A E₂E₁ A 1 0 0 [100] E₂E₂E₂A 0 1 0 0 0 1 Е₂₂₂ A = I

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Q: Find the orthogonal diagonalization of the following symmetric matrices. = [136] a. A =

A: A=[13  6       6    -3] Repost the next question.

Q: Find E₁ = 1 0 0 [⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ 1 0 0 →>> 1 0 0 → 18 -6 O 0 0 E₂E₁ A [18 -6 6 0 0 1 A 18 -6 1 0 0 0 0…

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