Define the linear transformation T by T(x) = Ax. Find ker(7), nullity(T), range(T), and rank(T). 8 8 A = -8 8 (a) ker(T) (b) nullity(T) (c) range(T) O R2 OR {(t, 8t): t is any real number} O {(8t, t): t is any real number} O {(-t, t): t is any real number} (d) rank(T)

Q: 1. Find the linearization of the given function at the given point.

A:

Q: Show that x – P VB + (d - x)* g(x) is a decreasing function of x.

A:

Q: h(x) = (f °gXx) Let h(x)=(2x-5) and f(x) =x, find g(x). 1. Let h(x) = Vx-5 and f(x)= Vx, find g(x)…

A:

Q: Let B = a = The function p(t) = 2 + 4(t − 5) + 7(t − 5)², can also be written as p(t) = a + b(t − 2)…

A:

Q: 5. Which of the following transformation is required to graph y=2vx from its parent function? a)…

A:

Q: 1 (b) Explain why {3-7-4-4} 5 is not linearly independent.

A:

Q: For f(x) = (x - 2)² + 4, do the following. a) Sketch a graph of the equation. b) Identify the…

A:

Q: Let P(x) be the interpolating polynomial for the data (0, 1), (1,3), (4, -3). Then P(2) = 3 4 -3 1

A: Here are 2 ways to solve find the solution In 2 method we will use this lagrange interpolation…

Q: 10. (a) Describe the transformations of y = x³ into the function f(x) = 8(x-1)³ -5. = (b) Describe…

A:

Q: If f(x) has a domain x≤-1 and range y≥-1 , then determine the domain and range of g(x) given that…

A:

Q: If f(x) has a domain x < -1 and range y ≥ -1, then determine the domain and range of g(x) given that…

A: The objective of this question is to determine the domain and range of the function g(x) = -f(32x) +…

Q: 2. Let -2 3] 1 5 A = (a) Write down the quadratic form, Q(x), for AT A.

A:

Q: Which graph represents a function? -3 2 -3 -2 -1 -1 1 2 3 -2 -3

A: Graphs are given , we have to find which one is the function.