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What is the Elimination technique of Linear Equations?
Consider the system of linear equations X + ay = 1 2x + 8y = b Where a and b are real numbers. (a) Write out the augmented matrix for this system of linear equations.
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Draw the direction field for the subsequent differential equation. Draw the set of integral curves for this differential equation. Solution: y′ = y - x To draw direct
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Example for Comparison Test for Improper Integrals Example: Find out if the following integral is convergent or divergent. ∫ ∞ 2 (cos 2 x) / x 2 (dx) Solution
Elimination technique needs that each variable be eliminated in turn via making the absolute value of its coefficients equal in the equations of the system and then subtracting or adding the equations. Making the absolute values of the coefficients equivalent needs the multiplication of each equation via a suitable numerical factor.
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