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Linear algebra assignment sample

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Added on  2021-04-24

Linear algebra assignment sample

   Added on 2021-04-24

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Summary Template – Module 3 Linear AlgebraUse the following statements to help you create your own summary of the topics covered in Week 3.1.Expanding Brackets (The Distributive Law):a.Complete the equation below showing the general form of the Distributive Law:b.Use the Distributive Law to remove the brackets from the following:1)5x – 52)–gh -4g3)3a2 + 6a2.Linear Equations (1 Variable):a. In general, a linear equation with one variable can be represented by theGive an example of a specific linear equation with one variable and identify the simple variable (the term that can take a range of values) and the constants (just numbers!)2Y + 3 = 4b.Remembering that to solve an equation, ‘what you do to one side, you must do to the other to keep things balanced’, solve:i.4 k = 40Dividing both sides by 4,4k/4 = 40/4Hence K = 10ii.5 e + 7 = 29 – 6eRearranging the terms,11e = 22Dividing both sides by 11,e = 2.1aa
Linear algebra assignment sample_1
3.Linear Equations (2 Variables):a.Linear Equations with 2 variables are often written in ‘Slope-Intercept’form,where and represent simple variables and and represent constants. Using these pro-numerals, complete the general form of a linear equation with 2 variables below:Y = 4x + 2b.P=42p = 3q – 78 = 3q-73q = 15Divide both sides by 5,q = 15/3 = 5.4.Simultaneous Equations:a. Simultaneous equations are solved at the same time as the equations havethe same unknowns..They have the same unknowns.b.There are a number of methods that can be used to solve equations simultaneously. In your own words, summarise the steps in the Substitution and Elimination Methods.Substitution methods:Step 1:Solve one of the equations for eitherx =ory =.Step 2:Substitute the solution from step 1 into the other equation.Step 3:Solve this new equation.Step 4:Solve for the second variable.Elimination methods:Step 1: Multiply each equation by a suitable number so that the two equations have the same leading coefficient. ...Step 2: Subtract the second equation from the first.Step 3: Solve this new equation for y.Step 4: Substitute y into either Equation 1 or Equation 2 above and solve for x.2
Linear algebra assignment sample_2

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