Question #59886

let u= (2,3,-1) and v= (0,-2,3)
a. determine u+v=
b. -2u=

Expert's answer

Answer on Question #59886 – Math – Linear Algebra

Question

Let u=(2,3,1)u = (2,3,-1) and v=(0,2,3)v = (0,-2,3).

Determine

a. u+v=u + v =;

b. 2u=-2u =.

Solution

a. u+v=(231)+(023)=(2+0321+3)=(212)u + v = (2\quad 3\quad -1) + (0\quad -2\quad 3) = (2 + 0\quad 3 - 2\quad -1 + 3) = (2\quad 1\quad 2);

b. 2u=2(231)=(22232(1))=(462)-2u = -2(2\quad 3\quad -1) = (-2\cdot 2\quad -2\cdot 3\quad -2\cdot (-1)) = (-4\quad -6\quad 2).

Answer: a. u+v=(212)u + v = (2\quad 1\quad 2);

b. 2u=(462)-2u = (-4\quad -6\quad 2).

www.AssignmentExpert.com


Need a fast expert's response?

Submit order

and get a quick answer at the best price

for any assignment or question with DETAILED EXPLANATIONS!

LATEST TUTORIALS
APPROVED BY CLIENTS