Thursday

April 24, 2014

April 24, 2014

Posted by **Anonymous** on Friday, August 24, 2012 at 11:10am.

kx + y + z = 1

x + ky + z = k

x + y + kz = k^2

has unique solution

then k is not equal to 1 and W. What is W?

- Math -
**Steve**, Friday, August 24, 2012 at 11:23amsince the determinant of the system is

| k 1 1 |

| 1 k 1 |

| 1 1 k |

= k^3 - 3k + 2

= (k+2)(k-1)^2

Then k cannot be -1 or 1

- math - oops -
**Steve**, Friday, August 24, 2012 at 11:24amdid I say -1?

I meant -2

- Math -
**drwls**, Friday, August 24, 2012 at 11:26amThe determinant of the three equation left sides cannot be zero.

(k^3 -k) +(1-k) +(1-k) NOT=0

k^3-k NOT= (k-1)

k(k^2 -1) NOT= k-1

k(k+1)NOT =1

k cannot be 0 or -1

W = -1

- Math -
**drwls**, Friday, August 24, 2012 at 11:28amSteve is right. I left out a 2

**Related Questions**

Maths- Discriminants - Find the values of k for which the following equations ...

Math( help please ! ) - for what value of k will the function f(x)=kx^2-4k+k ...

Calculus AB - I'm trying to find the second derivative of h(x)= x^2 + cos(kx) My...

algebra - How would you go about solving this? Im totally confused. Thanks! Find...

Property of logarithms - Using property of logarithms, how do I prove derivative...

maths... - This is the entire question: A curve has the equation y=(x+2)√(...

Physics - A spring (k = 857 N/m) is hanging from the ceiling of an elevator, and...

calc - find a positive value of k such that the area of the region enclosed ...

math,help - I definately do not understand this problem. If y varies directly ...

Algebra 1B - Please help I am so confused... Question: supposed that y is ...