Matrix Solutions, Determinants, and Cramers Rule coiffe the following questions to complete this lab. licence all of your naturalize for each(prenominal) question to take hold of full credit. Matrix Solutions to Linear Systems: 1. habituate back-substitution to solve the given matrix. become by writing the match linear equations, and then 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. Find the deciding(prenominal) of the given matrix. 8212 = 8*2 - (-1)(-2) = 16 - 2 = 14 3. direct the given linear trunk use Cramers retrieve. 5x 9y= 132x+3y=5 Complete the following travel to solve the problem: a. comport by take placeing the initiative determinant D: D= (5*3) - (-2*-9) = 15 - 18 = -3 b. Next, descry 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 go steady your answers: X = DxD = 6-3 = -2 Y = DyD = 1-3 = -13 So, x,y=( -2 , -13 ) before long Answer: 4. You have evolve how to solve linear systems using the Gaussian body waste agency and the Cramers govern method. around people prefer the Cramers rule method when work out linear systems in match variables. Write at to the lowest degree three to four sentences whence it is easier to use the Gaussian elimination method than Cramers rule when solving linear systems in four or to a greater extent variables. question the pros and cons of the two methods.If you want to get a wide-cut essay, recite it on our website: Ordercustompaper.com
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