Ask a New Question

Question

show that each function is a linear tranformation T(x,y)=(2x,x+y,x-2y) (T:R²=>r³)

(2) T:R³=>M^(2,2) given by T(x,y,z)=[y 2]
[2 0]
6 years ago

Answers

clement
i tried to make a matrice bracket but i couldn't
6 years ago
oobleck
(1) since each of the images is a linear combination of x,y T is a linear transformation.
(2) is the same
Remember, all you have to show is that
T(a+b) = T(a)+T(b)
T(ka) = kT(a)
6 years ago
clement
i think i get it now perfectly
6 years ago

Related Questions

Show that the function f(x)=1-|x|, [-1,1] does not satisfy the hypotheses of the mean value theorem... show that if f is any function, then the function O defined by O(x)=f(x)-f(-x)all over 2 is odd Show that the function f(x)= x^(3) +3/(x^2) +2 has exactly one zero on the interval (-infinity, 0).... what does this function show at x=5? f(x)=^2-25/x-5 A. removable discountinuity B. jump discou... Show that the function F(x) = integral[x to 3x](1/t)dt is constant on the interval (0, +∞). Show that f is a function one-to-one, if and only if f(x) = 0 for x=0. I cannot solve this demonstr... Show that the function f(x)= |x| + |x-1| is continous at function for every value of x Show that the function y = 60x − 0.2x^2 satisfies the second-order condition for a maximum when x... Which function below shows the rule for this table? Responses A y = 2x² - 1y = 2x² - 1 B y... How do you show that a function equals its Taylor series? Question 1Answer a. If its remainde...
Ask a New Question
Archives Contact Us Privacy Policy Terms of Use