Matrix Solutions, Determinants, and Cramers Rule Answer the following questions to eat up this lab. attest all of your work for each question to make out dear credit. Matrix Solutions to Linear Systems: 1. Use back-substitution to solve the given over matrix. fetch by writing the corresponding analog equations, and therefore 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. regulate the determinant of the given matrix. 8212 = 8*2 - (-1)(-2) = 16 - 2 = 14 3. run the given elongated system apply Cramers retrieve. 5x 9y= 132x+3y=5 Complete the following stairs to solve the problem: a. have by take placeing the frontmost determinant D: D= (5*3) - (-2*-9) = 15 - 18 = -3 b. Next, arrive Dx the determinant in the numerator for x: Dx= (-13*3) - (5*-9) = -39 + 45 = 6 c. Find Dy the de terminant 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 radiation diagram method. 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 tip variables. Discuss the pros and cons of the two methods.If you want to get a wide essay, order it on our website: OrderCustomPaper.com
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