Using k=12 and taking equation (2)-(4/3)*equation (1), we get the equation
0=-6-4h/3.
If h does not satisfy the above, no solution is possible. Thus for no solution -6-4h/3 must be not equal to zero or h can not be equal to -9/2.
Then the choice is h not equal to -9/2.
(1 point) Determine all values of h and k for which the system has no solution...
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
10. Determine the values of k for which the system of linear equations has (i) no solution vector, (ii) a unique solution vector, (iii) more than one solution vector (x, y, z): (a) kx+ y+ z= (b) 2x + (k-1)y + (3-k)2-1 2y + (k-3): = 2 x+ky + z = 1 -2y+ x 2x + ky- z =-2 (c) x + 2y + k= 1 (d) -3z =-3
10. Determine the values of k for which the system of...
2. Determine all possible values of h and k below: ſi 2 hl |3 ki8 a) so that the system has exactly one solution b) so that the system has infinitely many solutions c) so that the system has no solution
Choose h and k such that the system has (a) no solution, (b) a unique solution, and (c) many solutions. X1 + hx2 = 2 4x4 + 12x2 = k a. Select the correct answer below and fill in the answer box(es) to complete your choice. (Type an integer or simplified fraction.) O A. The system has no solutions only when h= and k# B. The system has no solutions only when h= and k is any real number. and...
Choose h and k such that the system has (a) no solution, (b) a unique solution, and (c) many solutions. Xq + 1x2 = 2 5x7 + 10x2 = k a. Select the correct answer below and fill in the answer box(es) to complete your choice. (Type an integer or simplified fraction.) A. The system has no solutions only when h = 5 and k# 10. OB. The system has no solutions only when h+ and k is any real...
Problem 6: For the following system of 1st order ODEs, a) When k - 1, determine the type of the critical point at (20) and check if it is going to be stable. And find the solution for yi and y2 at the critical point 01-20) b) Find the k values required to ensure that the system at the critical point (1 2is spiral and stable
Problem 6: For the following system of 1st order ODEs, a) When k -...
Let k,h be unknown constants and consider the linear system:
(Linear Algebra. Topic is Row Echelon Form)
(1 point) Let k, h be unknown constants and consider the linear system 5y + 5z =-6 35 r This system has a unique solution whenever h If h is the (correct) value entered above, then the above system will be consistent for how many value(s) of a? A. a unique value B. no values C. Infinitely many values
e parameter s for which the system has a unique solution, and describe the solution. 9) Determine the values of th 9) Sx1 -7sx23 2x1 -14sx2 5 14s(s+ 1) 14s(s 1) 6-5s ) s z 1; x1 =T46.TRAT 14s(s 1)
e parameter s for which the system has a unique solution, and describe the solution. 9) Determine the values of th 9) Sx1 -7sx23 2x1 -14sx2 5 14s(s+ 1) 14s(s 1) 6-5s ) s z 1; x1 =T46.TRAT 14s(s 1)
System Dynamics
3. Determine the values of K and k such that the closed-loop system shown in the Figure has a damping ratio ? of 0.7 and an undamped natural frequency en of4 rad/s R(s) 1 C(s)
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. ax1−5x2+5x3 = 10 −3x1+4x2−x3 = −9 x1+2x2+7x3 = −6 when does it have.... No Solutions: Many Solutions: