Describe all solutions of Ax = 0 in parametric vector form, where A is row equivalent to the given matrix. 1 3 -3 7 0 1 -5 5 x=X3. +X4 (Type an integer or fraction for each matrix element.)
Describe all solutions of Ax = 0 in parametric vector form, where A is row equivalent to the given matrix. 1 2 3 0 - 5 0010 0 -4 0000 1 4 0000 0 0 x=x2 +x4 +x| (Type an integer or fraction for each matrix element.)
Describe all least-squares solutions of the equation Ax = b 1 0 1 6 1 0 1 4 A= b= 1 1 0 3 110 5 free. The general least squares solutions of Ax = b for the given matrix A and vector bare all vectors of the form = xwith x3 (Simplify your answers.)
Describe all solutions of Ax = 0 in parametric vector form, where A is row equivalent to the given matrix. [1 40- 27 3 12 06 x=x2 + x3 +x. (Type an integer or fraction for each matrix element.)
Describe all solutions of Ax 0 in parametric vector form, where A is row equivalent to the given matrix. 1-40-5 4 8 0 0.0 10-3 0 0 0 0 1 0 0 0 0 0 X-x2 X3 integer or fraction for each matrix element.) + x6 (Туре an
1.5.7 Describe all solutions of Ax = 0 in parametric vector form, where A is row equivalent to the given matrix 1 2 -2 6 0 0 1 -4 7 3 tx 1.5.7 Describe all solutions of Ax = 0 in parametric vector form, where A is row equivalent to the given matrix 1 2 -2 6 0 0 1 -4 7 3 tx
what is all solutions of X3 of the system ( b) [5 marks] Let X= 2 and Let X2 = 5 be two solutions of the linear 3 system AX = B. Find all solutions X3 of this system, such that X3 # Xand X3 # X2 l]
Describe all least squares solutions of the equation Ax = b. 1 0 1 14 A= 1 1 0 1 1 0 b= 1 1 1 0 1 2 The general least-squares solutions of Ax = b for the given matrix A and vector b are all vectors of the form & = + x3 with xz free. (Simplify your answers.)
7. (20 points) Let 0-1 5 3 A -2 34 2 -3-5 (a) ( 15 points) Solve the linear system Ax = b by Gaussian elimination and express the general solution in vector form. (b) (5 points) Write down the corresponding homogenous system Ax-0 explicitly and determine all non-trivial solutions from (a) without resolving the system 7. (20 points) Let 0-1 5 3 A -2 34 2 -3-5 (a) ( 15 points) Solve the linear system Ax = b by...
Describe all solutions of Ax=0 in parametric vector form, where A is row equivalent to the given matrix. -2 -5 3 5-3 1 0 * +X integer or fraction for each matrix element.) (Type an