For the following linear system: 2x--3x +5x2-7x4-0 X-2x+3x-2xs-0 3x3-3 x-x-3x: 0 X:+8 x 9 x3+11 xs-0 (1) Represent this linear system in the form Ax = b. (ii) Explain what the null space of the coefficient matrix A is in terms of the linear system (ii) Find a basis for the null space of A. (iv) Find the rank and nullity of matrix A.
Solve using Gauss Jordan 3) Given the following set of linear equations x, +2x2-x3 +x4=5 -xi-2x2-3x3 + 2x4 = 7 x, +x2 + x3+x4=10
solve the homogenbosLS Linear system linear system of of the I folloing DER = x + x2 + 3x3 - 2x2 + 2x3. dx = 3X3
Q1. (25 points) Solve the given set of linear algebraic equations X1 + 2x2 + 3x3 = 0 4x1 + 5x2 + 6x3 = 0 7x: + 8x2 + 9x3 = 0 by expressing it in the form Ax = 0 and reducing A to its row-reduced echelon form through suitable elementary row operations. Show all your work.
1) Solve the following system of linear equations using a Gauss Elimination Method (5 pts) 5x1 + 5x2 + 3x3 = 10 3x1 + 8x2 – 3x3 = -1 4x1 + 2x2 + 5x3 = 4
need part d = 4 + + 2. Solve the system of equations s 2x + 4y + 6z (a) (3x + 5y – 2z = 7 ons 2x + 4y + 62 + 8t = 4 5y - 22 - t = 7 I1 + x2 + x3 = 1 Ii + 2.02 + 3x3 = 0 . + 4.12 + 9x3 = 4 + i + x3 = 1 + 2x2 + 3x3 = 0 . - 13...
Solve the system X1 + 2x2 – 3x3 = 5 2x1 + x2 – 3x3 = 13 - X1 + X2 = -8 1 x= 1), sec 0 a. b. N x=s3 sec -5 0 X=S SEC -1 O O d. X=t 1 1 1 tec Oe. x= -1, sec 0
Write the system of linear equations in the form Ax = b and solve this matrix equation for x. x1 – 2x2 + 3x3 = 24 -X1 + 3x2 - x3 = -11 2x1 – 5x2 + 5x3 = 42 X1 x2 = X3 ] 24 -11 42 [ x
Solve the system X1 + 2x2 – 3x3 = 5 2x1 + x2 – 3x3 = 13 - X1 + x2 = -8 [1 X=t1 tec 1 a. b. SEC Oc. 1 - -- 1. Jeee -2 -0. x=t0 O d. -1 , SEC e. SEC o f. X=S 2 3 ], sec -5
Solve the system X1 + 2x2 - 3x3 = 5 2x1 + x2 – 3x3 = = 13 - X1 + X2 = -8 O a. x= 1, SEC 0 Ob. tec x=1 1 Ос. 2 x= 3, SEC -5 0 d. 1 x=0 -1 gree -1 SEC x=s -1 0 Of. 1 X=S 0 -1 SEC 0