passionatekiss

Show that if U and V are subspaces of R^n and U intersect V = {0}, then dim(U+V)=dimU + dimV. U+V = {z|z=u+v where u in U and v in V} All I know is the two vectors U and V pass through the origin. ie. they intersect at 0, origin. How do I go about it? Thank you.

Nvm I got it!

Thank you for the info... But what is j? How can i enter the whole trig poly function? And is the one I did for the first one correct? Thanks a lot.

1. Use MATLAB to compute the DFT { d0 , d1 , d2 , d3 , d4 , d5 , d6 , d7 } for the following data and plot the data y0 = 0.324 y1 = 0.456 y2 = 0.112 y3 = 0.202 y4 = 0.654 y5 = 0.234 y6 = 0.678 y7 = 0.867 2. Plot the trigonometric polynomial tn(x). ================================= for the 1Q: I have this so far. so far. i have this: y=[0.324 .456 .112 -0.202 -.654 .234 .678 .867]; x=[0, pi/4, pi/2, 3*pi/4, pi, 5*pi/4, 3*pi/2, 7*pi/4] plot (x,y) Is that right? But for the 2, I have no idea how to get started with the MATLAB. I googled it, but no useful info is found. Please someone help me. Thanks a lot.