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2. Determine all possible values of h and k below: ſi 2 hl |3 ki8 a)...
Problem 1 (Linear Systems of Equations). (a) Determine the values of a for which the follow- ing system of equations have no solution, exactly one solution, infinitely many solutions (a + 2)y + (a2-4)2 = (0-2) (b) If A = 4-1 0 a 2b a a be the augmented matrix of a linear system of equations then evaluate the values of a and b for which the linear system has no solution? exactly one solution? one parameter solution? two parameter...
5. Consider the system of equations: 2 - Y + 2z = 4 3x - 2y + 92 = 14 2. - 4y + az = b. Find all the values of a and b so that the system has a) no solution b) 1 solution e) exactly 3 solutions and 4) infinitely many solutions.
Each of the matrices given below is an augmented matrix of a system linear equations. In each case decide if the system has no solutions, exactly one solution, or infinitely many solutions. Try to perform as few computations as possible. A= ſi 2 0 1 Lo 0 1 3 0 1 1 0 1 1 1 0 B= ſi 0 0 3 47 0 1 3 1 1 LO 0 1 1 0 C= [100 0 1 0 Lo 0...
Q6 (6 points) Consider the augmented matrix 1 1 -8 2 3 0 1 3 6 14 0 0 --5 -- 2 0 0 0 2 - 9 t +3 ܒܪ ܟ ܬ 1 Find all values of t for which the corresponding system has (a) no solution (b) exactly one solution (c) infinitely many solutions your files or click to browse...
#5 Determine for which values of the system 3x + 2y x + y +z = 2x + 2y + Az has: 4 p. a) one solution; 4 p. b) no solution. 4 p. c) infinitely many solutions;
(1 point) Determine all values of h and k for which the system has no solution k12
Determine the values of a for which the following system of linear equations has no solutions, a unique solution, or infinitely many solutions. You can select 'always', 'never', 'a = ', or 'a ≠', then specify a value or comma-separated list of values. x1+ax2−x3 = 2 −x1+4x2−2x3 = −5 −2x1+3x2+x3 = −4 No Solutions: Unique Solution: Infinitely Many Solutions:
Exercise 1.2.16 Choose h and k such that the augmented matrix shown has each of the following: (a) one solution (b) no solution (c) infinitely many solutions 44 Systems of Equations 1 2 2
Determine all values of the constant k for which the following system have; a) No solution b) Infinite number of solutions x1 + 2x2 –x3 = 3 2x1 + 5x2 +x3 = 7 x1 + x2 –k2x3 = -k
4. Consider the linear system /1 2 T2 -2 1 2 1 3 22-3) 4 :) [4] (a) Determine the value(s) of a, if any, for which this system has precisely one solution [2] (b) Determine the value(s) of a, if any, for which this system has no solutions [2] (c) Determine the value(s) of a, if any, for which this system has infinitely many solutions