Ma-1210 Week10 Lab

Matrix Solutions, Determinants, and Cramers Rule Answer the following questions to expel this lab. attest all of your work for each question to embark on dear credit. Matrix Solutions to Linear Systems: 1. Use back-substitution to solve the given up matrix. fetch by writing the corresponding running(a) equations, and whence work back-substitution to solve your variables. 1013018001 1591 = x-13z=15y-8z=9z=-1 = x-13(-1)=15y-8(-1)=9z=-1 = x=2y=1z=-1 x,y,z=(2 , 1 , -1) Determinants and Cramers Rule: 2. breakthrough the determinant of the given matrix. 8212 = 8*2 - (-1)(-2) = 16 - 2 = 14 3. run the given elongated system use Cramers retrieve. 5x 9y= 132x+3y=5 Complete the following travel to solve the problem: a. have by take placeing the root determinant D: D= (5*3) - (-2*-9) = 15 - 18 = -3 b. Next, arise Dx the determinant in the numerator for x: Dx= (-13*3) - (5*-9) = -39 + 45 = 6 c.

Find Dy the determinant in the numerator for y: Dy = (5*5) - (-2*-13) = 25 - 26 = -1 d. Now you can find your answers: X = DxD = 6-3 = -2 Y = DyD = 1-3 = -13 So, x,y=( -2 , -13 ) Short Answer: 4. You have larn how to solve linear systems using the Gaussian elimination mode and the Cramers principle order. Most people prefer the Cramers rule method when solving linear systems in twain variables. Write at least three to four sentences wherefore it is easier to use the Gaussian elimination method than Cramers rule when solving linear systems in four or to a greater point variables. Discuss the pros and cons of the two methods.If you want to get a sp! acious essay, order it on our website: OrderCustomPaper.com

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