Option B is correct.
Determine if the system has a nontrivial solution. Try to use as few row operations as...
Determine if the system has a nontrivial solution. Try to use as few row operations as possible 4x1-6x2 + 13x3 = 0 -4x1-2x2-7x3 = 0 8x1 4x2+14x30 Choose the correct answer below. O A. O B. O C. The system has a nontrivial solution. It is impossible to determine. The system has only a trivial solution.
-8x1-3x2+2x3 0 -xi + 4x2 + 2x3 0 Determine if the system has nontrivial solution. Try to use as few equivalent row operations as possible. Show all your work, do not skip steps Displaying only answer is not enough to get credit Solution (Show all intermediate steps, formulas, calculations, explanations and comments below this line. Don't write above this line) -xi-3x2 + 5x3-0 13- -3x 7x2 +9x3 0 Write the solution set of the given homogeneous system of equations in...
could you please help me with understanding why the answer to d) is not 3 parameters but instead 5,4 or 3? In a row echelon form, don’t we know that each non-zero rows has a leading 1 (by definition)? And so we know that the rank must be 3? 6-3=3 (by given theorem: n-r= #parameter) 4xy + 5ax2- 2ay +5x4 + 2xs 2x4+2xs 4x4 +x = 0 in ce 2x3- 9. (a) 2x, +2x- 4a x a + 2ax3 +...
Ax=O Unique solution (trivial solution x-0) No free variables Infinitely many (nontrivial) solutions Some free variables Every column of A is pivot column | (=> rank(A) = # of columns of A Some columns of A are not pivot columns rank(A)< #of columns of A You can use the above figure to answer the following questions are about homogeneous systems Ax-0. Answer TRUE or FALSE. If the answer is FALSE, choose FALSE with the appropriate counterexample, i.e example that shows...
Determine if the matrix below is invertible. Use as few calculations as possible. Justify your answer. - 3 30 20 6 -40 9 Choose the correct answer below. O A. The matrix is invertible. The given matrix has 2 pivot positions. O B. The matrix is not invertible. If the given matrix is A, the columns of A do not form a linearly independent set. OC. The matrix is not invertible. If the given matrix is A, the equation Ax...
Determine if the matrix below is invertible. Use as few calculations as possible. Justify your answer. 40 - 4 30 5 - 4 0 8 Choose the correct answer below O A. The matrix is not invertible. If the given matrix is A, the equation Ax = 0 has only the trivial solution. O B. The matrix is invertible. The given matrix has 2 pivot positions. OC. The matrix is invertible. The columns of the given matrix span R. OD....
Determine if the matrix below is invertible. Use as few calculations as possible. Justify your answer. 0 3 - 4 0 2 -4 -9 4 Choose the correct answer below. O A. The matrix is not invertible. If the given matrix is A, the equation Ax=b has at least one solution for each b in R3. OB. The matrix is invertible. The given matrix has 3 pivot positions. C. The matrix is invertible. The columns of the given matrix span...
Describe the solutions of the first system of equations below in parametric vector form. Provide a geometric comparison with the solution set of the second system of equations below. 4x1 +4x2+8X3 = 16 - 12X1 - 12X2 - 24x3 = - 48 - 6x2 - 6x3 = 18 4x7 +4x2+8X3 = 0 - 12X1 - 12X2 - 24x3 = 0 - 6x2 - 6x3 = 0 X1 Describe the solution set, x = X2 of the first system of equations...
Solve the following system of equations using matrices (row operations). If the system has no solution, say that it is inconsistent. Select the correct choice below and, if necessary, fill in the answer boxes to complete your choice. O A. The solution is C D (Simplify your answers.) OB. There are infinitely many solutions. The solution can be written as {(x2)x+ (Simplify your answer. Type an expression using y as the variable as needed.) O C. The system is inconsistent...
solve the following system of equations using matrices(row operations). If the system has no solution, say that it is inconsistent This Question: 1 pt 4 of 10 (7 complete) Thie Solve the following system of equations using matrices (row operations). If the system has no solution, say that it is inconsistent. -x + y + Z=-3 -x + 4y - 8z = -21 6x - 3y - 15z = 0 Select the correct choice below and, if necessary, fill in...