N. 24. Suppose vectors v1; : : : ; vp span Rn , and let T W Rn ! Rn be a linear transformation. Suppose T .vi/ D 0 for i D 1; : : : ; p. Show that T is the zero transformation. That is, show that if x is any vector in Rn , then T .x/

step-by-step explanation:

the original amount doesn't ''re just looking for the time it takes for 1/2 of the substance to we have

(1/2) =)     take the ln   of both sides

ln (1/2)   = )   and we can write

ln(1/2) = ) lne     and lne   = 1     so we have

ln(1/2) = -.1092t     divide both sides by -.1092

t = ln(1/2)/-.1092 = about 6.347 days = about 6.3 days (rounded)

cut 138 centimeters off

step-by-step explanation:

250-112 = 138

(1, –1), (16, –4), (36, –6)

step-by-step explanation:

given that the function is

this can also be written as

we have to graph this function and check which list of points lie on the graph

see attachment for graph:

we find that the points lying are (1,-1) (16,-4) and (36,-6)

since square root is there we find that x can only be posiitve but y can be since square root both positive and negative.