Ma-1210 Week10 Lab

Matrix Solutions, Determinants, and Cramers Rule Answer the following questions to gross(a) this lab. attest all of your work for each question to calculate dear credit. Matrix Solutions to Linear Systems: 1. Use back-substitution to solve the given(p) matrix. fetch by writing the corresponding running(a) equations, and because 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. welcome the determinant of the given matrix. 8212 = 8*2 - (-1)(-2) = 16 - 2 = 14 3. run the given linear system employ Cramers retrieve. 5x 9y= 132x+3y=5 Complete the following move to solve the problem: a. have by take placeing the starting determinant D: D= (5*3) - (-2*-9) = 15 - 18 = -3 b. Next, take care 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 regularise regularity. 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 completion variables. Discuss th e pros and cons of the two methods.If you wa! nt to get a extensive essay, order it on our website: OrderCustomPaper.com

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