Recent content by nhrock3

9*8*7 / (9 over 3) regarding part B we choose 2 floors from 3 (3 over 2) we have three person the first has 6 places the second has 5 third is 4 correct? (3 over 2)*6*5*4 /(9 over 3) correct?

in a three floor building on each store we have 3 appartments. so in total we have 9 appartments. every appartment has one person. 3 people enter the elevator(from the entrace of th building),each one goes to the floor he lives in. A) what are the odds that the elevator will stop at...

\left(\begin{array}{cc}14 & 13\\13 & 14\end{array}\right) the caracterstic polinomial P(t)=(t-14)^{2}-169=t^{2}-28t+27 t=1 t=27 for t=1 i get (-1,1) and for t=27 i got the same (-1,1) so the transformation matrices is not invertible which is wrong where is my mistake?

find B matrices so B^{3}=A=\left(\begin{array}{cc}14 & 13\\13 & 14\end{array}\right) ,the diagonal form of A is D=\left(\begin{array}{cc}a & 0\\0 & b\end{array}\right) i got weird numbers so for convinience the eigenvalues are a,b so there is U for which...

actually there no examples :)

8) U=\{x=(x_{1},x_{2},x_{3},x_{4})\in R^{4}|x_{1}+x_{2}+x_{4}=0\} is a subspace of R^{4} v=(2,0,0,1)\in R^{4} find u_{0}\in U so ||u_{0}-v||<||u-v|| how i tried: U=sp\{(-1,1,0,0),(-1,0,0,1),(0,0,1,0)\} i know that the only u_{0} for which this innequality will work is if it will be the...

7) T:R^{2}->R^{2} projection transformation on X-axes parallel to the line y=-\sqrt{3}x find the representative matrices of T{*} by B=\{(1,0),(0,1)\} basis how i tried: i understood that the x axes stayed the same but the y axes turned into y=-\sqrt{3}x our T takes some vector and...

3) q:R^{3}->R is defined by q(x,y,z)=4(xy+yz+zx) find the minimal M\in R so q(x,y,z)\leq M(x^{2}+y^{2}+z^{2}) ? why in the solution the calculate the caracteristic polinomial ? why if (t+2) is in power 2 then we have -2 in two members of the formula q(v) ?? our polinomial doesn't...

1) q(x_{1,}x_{2,}x_{3})= x_{1}^{2}+5x_{2}^{2}+26x_{3}^{2}+2x_{1}x_{2}+10x_{1}x_{3}+6x_{2}x_{3} V=\{x=(x1,x2,x3)\in R^{3}:q(x)=0\} check if V is a subspace of R^{3} and find the basis of V? how i tried: i diagonolized it the representative by rows and columns and i see that q is...

i need to show that there is x1 f(x1)<c f(x2)>c from the limit when x goes to sero we get zero -e<f(x)<e from the limit when x goes minus infinity f(x)<-N what e to chhose? what N to choose?

close to sero is 0

i need to prove that \frac{1}{\sqrt{x}} is not uniformly continues in (0,1) for epsilon=0.5 |\frac{1}{\sqrt{x}}-\frac{1}{\sqrt{y}}|=|]\frac{\sqrt{y}-\sqrt{x}}{\sqrt{xy}}\frac{\sqrt{y}+\sqrt{x}}{\sqrt {y}+\sqrt{x}}|=|\frac{y-x}{(\sqrt{y}-\sqrt{x})\sqrt{xy}}|...

close to zero from minus its minus infinity when x goes to minus infinity its 0 how it helps me?

lim_{x->0^{+}}(1+sinx)^{\frac{1}{\sqrt{x}}} i get here 1^{\infty} form which states that's its some sort of exponent

prove that for c<0 there is only one solution to xe^{\frac{1}{x}}=c ?? for x=1 we have f(1)>0 the limit as x->-infinity is -infinity what to do? ?