Recent content by Chewybakas

Homework Statement Let A ε M2x2 prove χA(x) = x^2 -tr(A)x + det(A) Homework Equations The Attempt at a Solution Hi all, this is an assignment equation and the right hand side i can perfectly understand but i can't understand the left hand side, What is it i am looking for...

I reduced the original matrix to reduced row echelon form which gave me the identity 2x2 matrix, which when finding two values v1,v2 where when multiplied by the identity matrix gives zero, I get the answer stated above but when i tried a different way I get the eigenspace 2v1 and 9v1 which...

Homework Statement Find the eigenvalues and eigenspace of the given vector.Homework Equations Matrix = (3,0) (8,-1)The Attempt at a Solution I have determined the eigenvalues to be -1 and 3, but when I try compute the eigenspace when lambda = -1 I constantly get confused and end up...

I was in desperate need of help, I was obviously getting it horribly wrong. He just helped me out greatly and i can't thank him enough for it!

Ah y=x will give me a 45° line through the origin?

Ahh that's where i was going wrong! I was using the x-axis itself as a boundary! I have no idea why! Thank you for clearing that up! But in this question i have no figures. {(x; y) εℝ^2 : x≤y} Is that just the x and y axis! thank you for all your help!

I have a graph with an x and y axis, the points drawn in and lines from each point, where the line y=2 intersects the x points i shade in the rectangular shape. If I am wrong could you please tell me what to do!

So if i plot those points and draw the lines i get a rectangular shape on my graph is that the correct solution?

Homework Statement I have to sketch the following region in R^2 but i Have no idea how to do it! Homework Equations S1 = {(x; y) εℝ^2 : -2≤x≤4 y,≤2} The Attempt at a Solution I plotted the line from -2 to 4 on the x-axis and a line greater then 2 from the y-axis but i am sure i...