]Eigenvectors are found by the equation
implying that
. We then can write:
![A-\lambda I = \left [ \begin{array}{cc} 4-\lambda & 2 \\ 5 & 1-\lambda \end{array}\right ]](https://tex.z-dn.net/?f=%20A-%5Clambda%20I%20%3D%20%5Cleft%20%5B%20%5Cbegin%7Barray%7D%7Bcc%7D%204-%5Clambda%20%26%202%20%5C%5C%205%20%26%201-%5Clambda%20%5Cend%7Barray%7D%5Cright%20%5D%20)
And:
Gives us the characteristic polynomial:
So, solving for each eigenvector subspace:
![\left [ \begin{array}{cc} 4 & 2 \\ 5 & 1 \end{array} \right ] \left [ \begin{array}{c} x \\ y \end{array} \right ] = \left [ \begin{array}{c} -x \\ -y \end{array} \right ]](https://tex.z-dn.net/?f=%5Cleft%20%5B%20%5Cbegin%7Barray%7D%7Bcc%7D%204%20%26%202%20%5C%5C%205%20%26%201%20%5Cend%7Barray%7D%20%5Cright%20%5D%20%5Cleft%20%5B%20%5Cbegin%7Barray%7D%7Bc%7D%20x%20%5C%5C%20y%20%5Cend%7Barray%7D%20%5Cright%20%5D%20%3D%20%5Cleft%20%5B%20%5Cbegin%7Barray%7D%7Bc%7D%20-x%20%5C%5C%20-y%20%5Cend%7Barray%7D%20%5Cright%20%5D%20)
Gives us the system of equations:
Producing the subspace along the line
We can see then that 3 is the answer.
For perfect solution we need to have :- 8 colves in 500ml solution
500 ml has 8 cloves
1 ml has 8 / 500 cloves
100ml has 8 / 500 * 100 = 8/5 = 1.6 cloves
Raphael's mixture
900 ml has 12 cloves
1 ml has 12 / 900 cloves
100 ml has 12 / 900 * 100 = 12 / 9 = 1.33 cloves
so concentration of garlic in 100 ml solution of Raphael's solution is less than Emily's solution so it is not garlicky enough. ( option B)
So,
Optimally, we want a number between 1 and 10 multiplied by a power of ten.
If we move the decimal place 6 places to the right, we get 6.
So we want
.
The correct option is C.
Answer:
Step 1
Step-by-step explanation:
When moving the 4 to the other side, Viet was supposed to subtract 4 from each side, leaving 0 on the left, and 102-4 on the other side. 102-4=98, not 106. Viet added when he was supposed to subtract.
Answer:
not sure but i think its 425 cm
Step-by-step explanation:
for the square i dont know
how its called in english the surface is 25×10= 250cm
and for the triangle its (25×14):2 = 175cm
so 175 + 250= 425cm
