Consider the following Gauss-Jordan reduction:
Find...
Consider the following Gauss-Jordan reduction: Find... (1 point) Consider the following Gauss-Jordan reduction: TO -1 0...
(1 point) Consider the following Gauss-Jordan reduction 1 0 0 200 → -2 0 01-11 00|→ 9 1 01 .10 1 01-1 E1A E2E1A E4E3E2E1A Find E2 as a product AEE E of elementary matrices 2 0 0 Write A as a product A- E EE'Eof elementary matrices 1 2 3 4 91 31
(1 point) Consider the following Gauss Jordan reduction: 0 BB-01-03-03 01) 08] [100] [100] 103000 [ 0 0 1 0 0 1 EEE, SA Find Write A as a product A E 'E'E', of elementary matrices
(1 point) Consider the following Gauss elimination: i [-9 | | |- |- |- |- |- |- | ſi 081 0 1 0 1 Lo 0 1] 100 0 0 1 EA A+ 0 EE, A O 0 0 1 -8 0 E, EEA 0 1 4 17 -7 7 0 3 0 1 0 0 0 What is the determinant of A? det(A) = (1 point) Given the matrix find all values of a that make A = 0....
1. On Inverting Matrices, using Gauss-Jordan (a) Consider the following matrix A. If the inverse of A exists, com- pute A-1, else say so. A 1 3 INVERSE OF MATRICES 15 (b) Consider the following matrix A. If the inverse of A exists, com- pute A-1, else say so. A-(3) 0 1 (c) Consider the following matrix A. If the inverse of A exists, com- pute A1, else say so. 0 2 (d) Consider the following matrix A. If the...
Use the Gauss-Jordan elimination process on the following system of linear equations to find the value of z. a) z = 5 b) z = 0 c) z = 4 d) z = 2 e) z = 3 f) None of the above. Use the Gauss-Jordan elimination process on the following system of linear equations to find the value of x. a) x = -10 b) x = -21 c) x = -11 d) x = 8 e) x =...
2. Consider matrix A = 5 0 1 2 Find elementary matrices E1, E2 and E3 such that E3E2E1A=I.
8 (1 point) Consider the following Gauss elimination: [10 0 1 0 1 1 0 0 0 1 0 JA 0 1 0 EA 0 8 0 EEA 0 0 - 1 0 0 0 0 A- 0 0 1 3 -3 0 1 0 E3E2E A = 0 8 100 0 0 Slove 1 1 -5 E E What is the determinant of A? det(A) =
Find the Jordan Form for each of the matrices A = TO 0 0 0] 0 0 0 0 1 0 0 0 LO 100 and B= TO 1 0 0] 0 0 1 0 1. Are A and B similar? Explain your lo ooo LO 000] answers.
4. Use elementary row operations (Gauss-Jordan method) to find the inverse of the matrix (if it exists). If the inverse does not exist, explain why. 1 0-1 A:0 1 2 0 -1 2us 0P 0 Determine whether v is in span(ui, u2, us). Write v as a linear combination of ui, u2, and us if it is in span(u1, u2, u3). If v is not in span(ui, u2, u3), state why. span(ui,u2,us). If v is not in span(ui,u^, us), state...
Use Gauss-Jordan elimination to solve the following system. Then find basic solutions of the system. =0 -3x - y + 172 23 - 5y - 51w 2+y - 72 +6w -3 - 2y + 92 - 15w =0 = 0 =0