Let I denote the space of all infinite sequences of real numbers, where addition and scalar multiplication is defined componentwise: (a1, 22, ...) + (61, 62, ...) = (a1 + b1, 22+ b2, ...), a(a1, a2, ...) = (aa1, 002, ...), then this is a vector space (you do not have to verify this). Define the operators L, R: 1 7 by: L(a1, 22, 23, ...) = (a2, 23, 24,...), R(21, 22, 23, ...) = (0, 21, 22, ...), then these are linear operators on l. Do the following: i) Find the kernels of L and R. ii) Show that LOR=Id, but RoL #Id.

This question has a few typos.

The complete question, answer & explanation for this question is given in the attachment below.

options a,b,c are the right answer.

step-by-step explanation:

a linear parent function is always represented as y = x

if we write this function in the form of y=mx+c

⇒

or  

now if we plot a graph we will find these characteristics:

1) y intercept of the graph is zero so its a straight line passing through origin.

2) as we can see in both the forms of function written, values of x and y may be either positive or negative for the positive slope means points on the graph are either in first quadrant or in third one.

3) it's slope is one.

47.28 or 47.2857143

step-by-step explanation:

you just divide 331 by 7 and you get that answer. ( i think so tho)