Determine the value(s) of h such that the matrix is the augmented matrix of a consistent linear system.16 28 h-4-76....Select the correct choice below and, if necessary, fill in the answer box to complete your choice.

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Advanced Engineering Mathematics

10th Edition

ISBN:9780470458365

Author:Erwin Kreyszig

Publisher:Erwin Kreyszig

Chapter2: Second-order Linear Odes

Section: Chapter Questions

Problem 1RQ

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se row operations on the augmented matrix as far as necessary to determine whether the system is independent, dependent, or inconsistent. 5x 3y+ 3z=13 10x 6y+ 6z=24 -10x+ 6y- 6z = -24 Is the system is independent, dependent, or inconsistent? OA. independent OB. inconsistent OC. dependent
Which can be said correct given the augmented matrix below? [ 1 3 0 | -5 ] [ 0 0 1 | 3 ] This matrix corresponds to a 2x3 linear system in variables x, y and z. (show solution) a. It is not in RREF, y is a free variable but (-2, 1, 3) is a solution. b. It is not in RREF, y is a free variable but (-5,0,3) is a solution. c. It is in RREF, y is a free variable but (1, -2, 3) is a solution. d. It is in RREF, y is a free variable but (-1,2,3) is a solution. e. none of the above
6. For each augmented matrix below, state the solution. Write the solution as an ordered triple, if appropriate. 10 003 0 1 0 -1 00 18 1 0 -6 11 | 0147 000-2 1029 01-85 0000
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Determine whether the statement below is true or false. Justify the answer. If A is an mxn matrix and if the equation Ax=b is inconsistent for some b in Rm, then A cannot have a pivot position in every row. ***** Choose the correct answer below. O A. This statement is false. If A is an mxn matrix and if the equation Ax=b is inconsistent for some b in R™, then the equation Ax = b has a solution for each b in Rm. OB. This statement is true. If A is an mxn matrix and if the equation Ax = b is inconsistent for some b in R™, then the equation Ax = b has no solution for some b in Rm. OC. This statement is false. Since the equation Ax=b has a solution for each b in R™, the equation Ax=b is consistent for each b in Rm. D. This statement is true. If A is an mxn matrix and if the equation Ax=b is inconsistent for some b in R™, then the columns of A span Rm
Hm
Determine the value(s) of h such that the matrix is the augmented matrix of a consistent linear system. [:] - 8 16 h 2 -4 7 Select the correct choice below and, if necessary, fill in the answer box to complete your choice. A. The matrix is the augmented matrix of a consistent linear system if h+ (Use a comma to separate answers as needed. Type an integer or a simplified fraction.) B. The matrix is the augmented matrix of a consistent linear system if h = (Use a comma to separate answers as needed. Type an integer or a simplified fraction.) C. The matrix is the augmented matrix of a consistent linear system for every value of h. D. The matrix is not the augmented matrix of a consistent linear system for any value of h.
Use the matrix capabilities of a graphing utility to find AB, if possible. (If not possible, enter IMPOSSIBLE.) - 15 -11 3 13 14 A = 12 14 11 В 3 -4 11 7 -2 9. 13 16 AB =

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etermine the value(s) of h such that the matrix is the augmented matrix of a consistent linear system. 16 28 h -4 -7 6 elect the correct choice below and, if necessan fill in th ...