- #1
AGNuke
Gold Member
- 455
- 9
If the system of Linear Equations
[tex]x+y+z=6[/tex]
[tex]x+2y+3z=14[/tex]
[tex]2x+5y+\lambda z=\mu[/tex]
has infinite number of solution in x, y, z
I need to find out two things
1. The value of λ
2. Maximum value of [tex](\mu x+\lambda y-20z)sin^2\theta+(\lambda x+\mu y+64z)cos2\theta, \theta \in \mathbb{R}[/tex] is 272
I used the Matrix method of AX=B to find out λ by solving for A=0; I got the answer 8, and it is correct.
Now my catch is to validate the second question. It is given true, I just need to validate. I tried to solve it with the three existing equations but I was unable to get answer.
[tex]x+y+z=6[/tex]
[tex]x+2y+3z=14[/tex]
[tex]2x+5y+\lambda z=\mu[/tex]
has infinite number of solution in x, y, z
I need to find out two things
1. The value of λ
2. Maximum value of [tex](\mu x+\lambda y-20z)sin^2\theta+(\lambda x+\mu y+64z)cos2\theta, \theta \in \mathbb{R}[/tex] is 272
I used the Matrix method of AX=B to find out λ by solving for A=0; I got the answer 8, and it is correct.
Now my catch is to validate the second question. It is given true, I just need to validate. I tried to solve it with the three existing equations but I was unable to get answer.
Last edited: