Find all values of k, that satisfy the given equation

[Cudi1]

Homework Statement

find all values of k, that satisfy the given equation

Homework Equations

(k 1 1) *1 1 0* k
1 0 2 1
0 2 -3 1

The Attempt at a Solution

Basically you have a row vector multiplied by matrix multiplied by column vector
So (k,1,1)* k+1 = 0
k+2
-1

therefore i arrive at k^2+2k+2=0 and that k=-1, is this correct and if so is there a way i can verify?

 

[LCKurtz]

Homework Statement

find all values of k, that satisfy the given equation

What equation?

Homework Equations

(k 1 1) *1 1 0* k
1 0 2 1
0 2 -3 1

The Attempt at a Solution

Basically you have a row vector multiplied by matrix multiplied by column vector
So (k,1,1)* k+1 = 0
k+2
-1

therefore i arrive at k^2+2k+2=0 and that k=-1, is this correct and if so is there a way i can verify?

 

[Cudi1]

it's a row vector of k,1,1 * the given matrix multiplied by column vector k,1,1 which equals to 0.

 

[LCKurtz]

therefore i arrive at k^2+2k+2=0 and that k=-1, is this correct and if so is there a way i can verify?

I think you mean k² + 2k + 1 = 0, and yes k = -1 is correct. To verify it put k = -1 in the original problem and multiply it out to see if it works.

 

[Cudi1]

thank you for the help