Matrix Solutions, Determinants, and Cramers Rule Answer the following questions to murder this lab. attest all of your work for each question to communicate dear credit. Matrix Solutions to Linear Systems: 1. Use back-substitution to solve the wedded matrix. fetch by writing the corresponding elongated equations, and thus 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. make the determinant of the given matrix. 8212 = 8*2 - (-1)(-2) = 16 - 2 = 14 3. run the given bilinear system victimisation Cramers retrieve. 5x 9y= 132x+3y=5 Complete the following locomote to solve the problem: a. have by take placeing the first-year determinant D: D= (5*3) - (-2*-9) = 15 - 18 = -3 b. Next, examine 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 endure 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 period variables. Discuss the pros a nd cons of the two methods.If you want to ge! t a total essay, order it on our website:
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