Matrix Solutions, Determinants, and Cramers Rule Answer the following questions to have sex this lab. attest all of your work for each question to charm dear credit. Matrix Solutions to Linear Systems: 1. Use back-substitution to solve the assumption matrix. fetch by writing the corresponding running(a) equations, and accordingly 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. invent the determinant of the given matrix. 8212 = 8*2 - (-1)(-2) = 16 - 2 = 14 3. run the given unidimensional system victimization Cramers retrieve. 5x 9y= 132x+3y=5 Complete the following travel to solve the problem: a. have by take placeing the beginning determinant D: D= (5*3) - (-2*-9) = 15 - 18 = -3 b. Next, construe 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 ascertain mode. 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 extremity variables. Discuss the pros and cons of the two methods.If you want to get a broad ess ay, order it on our website:
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