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Find the matrix of the quadratic form. Assume x is in R³. a. 5x² + 6x² − 2x²3 - 12x₁x2 + 6×₁×3 − 2×2×3 - b. 4x1x2 + 8x1x3 - 18x2x3 a. The matrix of the quadratic form 5x + 6x2 - 2x3 - 12x₁x2 +6x₁x3 - 2x₂x3 is (Simplify your answer.) b. The matrix of the quadratic form 4x₁x₂ + 8x₁ x3 - 18x2x3 is (Simplify your answer.)

Find the matrix of the quadratic form. Assume x is in R³. a. 5x² + 6x² − 2x²3 - 12x₁x2 + 6×₁×3 − 2×2×3 - b. 4x1x2 + 8x1x3 - 18x2x3 a. The matrix of the quadratic form 5x + 6x2 - 2x3 - 12x₁x2 +6x₁x3 - 2x₂x3 is (Simplify your answer.) b. The matrix of the quadratic form 4x₁x₂ + 8x₁ x3 - 18x2x3 is (Simplify your answer.)

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Subject  :- Advance Mathematic 

Find the matrix of the quadratic form. Assume x is in R³. a. 5x² + 6x² − 2x² − 12x₁x₂ + 6×1×3 − 2×2×3 b. 4x1x2 + 8x1x3 - 18x2x3 a. The matrix of the quadratic form 5x + 6x2 - 2x3 - 12x₁x2 +6x₁x3 - 2x₂x3 is (Simplify your answer.) b. The matrix of the quadratic form 4x₁x₂ + 8x₁ x3 - 18x2x3 is (Simplify your answer.)
Transcribed Image Text:Find the matrix of the quadratic form. Assume x is in R³. a. 5x² + 6x² − 2x² − 12x₁x₂ + 6×1×3 − 2×2×3 b. 4x1x2 + 8x1x3 - 18x2x3 a. The matrix of the quadratic form 5x + 6x2 - 2x3 - 12x₁x2 +6x₁x3 - 2x₂x3 is (Simplify your answer.) b. The matrix of the quadratic form 4x₁x₂ + 8x₁ x3 - 18x2x3 is (Simplify your answer.)
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