- 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.)
Use the definition of Ax to write the vector equation as a matrix equation. 7 -5 -9 3 5 7 1 X1 + X2 +X3 -4 -4 - 7 7 -9 8 -3 4 X1 3 1 X2 7 X₂ (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.)
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.)
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.)
Describe all solutions of Ax = 0 in parametric vector form, where A is row equivalent to the given matrix. 4 - 12 NO - 1 3 - 2 (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. -2 -5 3 5-3 1 0 * +X integer or fraction for each matrix element.) (Type an
6 CO -3 -1 LetA= -9 0 and B= - 8 9 Solve the matrix equation 4A + 5B = 3X for X. -1 -1 5 an 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 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.)