Matrix Solutions, Determinants, and Cramers Rule Answer the following questions to all over 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 wedded matrix. fetch by writing the corresponding analog equations, and thusly 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. sense the determinant of the given matrix. 8212 = 8*2 - (-1)(-2) = 16 - 2 = 14 3. run the given elongate system employ Cramers retrieve. 5x 9y= 132x+3y=5 Complete the following steps to solve the problem: a. have by take placeing the number 1 determinant D: D= (5*3) - (-2*-9) = 15 - 18 = -3 b. Next, get wind 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 order manner. 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 and cons of the t wo methods.If you want to get a wide-eyed ! essay, order it on our website:
OrderCustomPaper.comIf you want to get a full essay, visit our page:
write my paper
No comments:
Post a Comment