Discrete Math

You are an electrical engineer designing a new integrated circuit involving potentially millions of components. How would you use graph theory to organize how many layers your chip must have to... more

03/24/13

how do you solve tan2x=0.5 for x?

Please, help me to solve for x. Show steps.  Thank you! 

03/22/13

find any extreme values for f(x) = e-x·sin(2x) from 0< x < p/4.

Use process of optimization

01/20/13

Please, help!

Show that the set V of all 2x2 upper triangular matrices is asubspace of M22 I need to turn this in tonight by 12 pm. Please, help! 

01/19/13

Find the domain and codomain and determine whether T is linear

w1=5x1-x2+x3 w2= -x1+x2+7x3 w3= 2x1-4x2-x3 My solution so far: From the system I can tell that it is R3, so domain is R3, since there w1, w2, w3 I can tell that codomain is R3. Is there a way to... more

01/19/13

Determine whether w is in the range of the linear operator T

T:R3 - R3: T (x,y,z) = (2x-y, x+z, y-z); w= (3,3,0) Here is my solution: T (3,3,0) = (2x3-3, 3+0, 3-0) T (3,3,0) = (3, 3, 3)  What I am doing wrong? And how to explain if it is in the range or... more

01/11/13

Why must the determinant of a matrix with integer entries be an integer?

My answer would be because it involves only addition, subtractions and multiplications, no divisions. But I am not 100%sure. 

12/28/12

Linear Algebra

. Indicate whether the statement is true or false. Justify your answer.(a) If Ax=b has infinitely many solutions, then so does Ax=0 (b) If Ax=b is inconsistent, then Ax=0 has only the trivial... more

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