Find The Value Of K Such That The System Of Linear Equations Is Inconsistent
Solved Find The Value Of K Such That The System Of Linear Chegg Com
Find the value of k such that the system of linear equations is inconsistent. Find the values for k that make this system. So the system of equations is consistent one solution if h neq 2. Find the value of k such that the system of equations is inconsistent.
As pointed out by Christiaan Hattingh theres trouble if h 2 for any value of k. Get my full lesson library ad-free when you become a member. We have four X minus eight.
Okay so this problem eyes a little bit different. Enter your answers as a comma-separated list Infinitely many solutions he indicated number of solutions. Ive learned to find the solutions to linear systems using Gaussian Elimination.
Determine the values of k such that the system of linear equations has the indicated number of solutions. -10y ky 9. Thus we get the equivalent system of equations as x 2 3 3 y 3 z 0.
So inconsistent means uh for for the sake of what were looking for here is that these two lines have the same slow or that these two lines of parallel So for these two. You can form the augmented matrix for this system reduce it to echelon form and find out that k should be equal to -3. Solve if you can.
That means that in finance solution happens when von equation is just a multiple off other. Students can solve NCERT Class 10 Maths Pair of Linear Equations in Two Variables MCQs with Answers to know their preparation level. 15x- 3y 6.
In Exercises 71 and 72 find the value of k such that the system of linear equations is inconsistent. Leftbeginarrayl15x 3y 6-10x ky 9endarrayright.
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Answer by Fombitz 32379 Show Source. 4k6k13 This system of linear equations can have infinite solutions only if the determinant of the 2xx2 matrix 4kk1 is 0. Answer by Fombitz 32379 Show Source. Thus we get the equivalent system of equations as x 2 3 3 y 3 z 0. Or 2 0 k 1 1 3 2 k 0 or 3 3 2 k 0 k 3 3 2 Putting the value of k the equations are x 2 3 3 y 3 z 0 1 3 x 2 3 3 y 2 z 0 2 2 x 3 y 4 z 0 3 Mutliply 1 by 3 and subtract from 2 and similarly multiply 1 by 2 and subtract from 3. Determine the value of k such that the following system of linear equations has infinitely many solutions and then find the solutions. What is the value of ab whole square minus a-b whole square. Also find all the solutions of the system for that value of k. With infinite solutions begin cases kx y z 1 x ky z 1 x y kz 1 end cases.
Okay so deal system awfully near a question has infinitely many solution when the same line is represented by the two equations. Um two equations are inconsistent. Inconsistent no solutions With unique solution. Solve if you can. Linear algebra - Value of k for whichthe system is inconsistent - Mathematics Stack Exchange. Or 2 0 k 1 1 3 2 k 0 or 3 3 2 k 0 k 3 3 2 Putting the value of k the equations are x 2 3 3 y 3 z 0 1 3 x 2 3 3 y 2 z 0 2 2 x 3 y 4 z 0 3 Mutliply 1 by 3 and subtract from 2 and similarly multiply 1 by 2 and subtract from 3. Leftbeginarrayl15x 3y 6-10x ky 9endarrayright.
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