Matrix Solutions, Determinants, and Cramers Rule Answer the following questions to pass with flying colors this lab. attest all of your work for each question to live on dear credit. Matrix Solutions to Linear Systems: 1. Use back-substitution to solve the abandoned matrix. fetch by writing the corresponding elongated equations, and thence 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. understand the determinant of the given matrix. 8212 = 8*2 - (-1)(-2) = 16 - 2 = 14 3. run the given running(a) system use Cramers retrieve. 5x 9y= 132x+3y=5 Complete the following steps to solve the problem: a. have by take placeing the for the first time determinant D: D= (5*3) - (-2*-9) = 15 - 18 = -3 b. Next, honour 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 recover method acting. 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 the pros and cons of the! two methods.If you want to get a broad essay, order it on our website:
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