Use the definition of Ax to write the vector equation as a matrix equation. 7 -5...
Write the system of equations as a matrix equation of the form AX = B. X1 - 2x2 + 3x3 = - 4 - 2X1 + 4x2 = 1 X1 + X2 + 3x3 = - 3 X1 X2 = X3 (Type an integer or decimal for each matrix element.)
- 3 -9 Given A= 7 21 find one nontrivial solution of Ax = 0 by inspection. [Hint: Think of the equation Ax = 0 written as a vector equation.] - 4 - 12 X= (Type an integer or simplified fraction for each matrix element.)
Write the solution set of the given homogeneous system in parametric vector form. 4x1 + 4x2 + 8x3 = 0 8x1-8x2-16x3-0 5x2 + 5x3 = 0 X1 where the solution set is x- X2 X3 x=x3 (Type an integer or simplified 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- 27 3 12 06 x=x2 + x3 +x. (Type an integer or fraction for each matrix element.)
- 2 -8 Given A= 7 28 find one nontrivial solution of Ax = 0 by inspection. (Hint: Think of the equation Ax = 0 written as a vector equation.] -3 -12 (Type an integer or simplified 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 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. 1-40-5 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
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.)
Write the solution set of the given homogeneous system in parametric vector form. 2x1+2x2 + 4x3=0 4x1-4x2-8x3 =0 -6x2 + 6x3 = 0 where the solution set is x-X2 X3 (Type an integer or simplified fraction for each matrix element.)
Write the system first as a vector equation and then as a matrix equation. 5X1 + X2 - 3X3 = 6 8X2 + 5x3 = 0 Write the system as a vector equation. Select the correct choice below and, if necessary, fill in any answer boxes to complete your choice. A. X1 X2 X3 3] = B. X1 + X2 +Xz X1 X2 = X3