Question

In: Advanced Math

T(1+2x)=1+x-x^2 T(1-x^2)=2-x T(1-2x+x^2)=3x-2x^2 a)compute T(-6x+3x^2) b) find basis for N(T), null space of T c) compute...

T(1+2x)=1+x-x^2

T(1-x^2)=2-x

T(1-2x+x^2)=3x-2x^2

a)compute T(-6x+3x^2)

b) find basis for N(T), null space of T

c) compute rank of T and find basis of R(T)

Solutions

Expert Solution


Related Solutions

For the function f(x) = x^2 +3x / 2x^2 + 6x +3 find the following, and...
For the function f(x) = x^2 +3x / 2x^2 + 6x +3 find the following, and use it to graph the function. Find: a)(2pts) Domain b)(2pts) Intercepts c)(2pts) Symmetry d) (2pts) Asymptotes e)(4pts) Intervals of Increase or decrease f) (2pts) Local maximum and local minimum values g)(4pts) Concavity and Points of inflection and h)(2pts) Sketch the curve
B= {1,x,x^2} B’={1-x^2, x-x^2, 1+2x-x^2} T(a+bx+cx^2) = 3a+b+c+(2a+4b+2c)x + (-a-b+c)x^2 a) by direct calculation , compute...
B= {1,x,x^2} B’={1-x^2, x-x^2, 1+2x-x^2} T(a+bx+cx^2) = 3a+b+c+(2a+4b+2c)x + (-a-b+c)x^2 a) by direct calculation , compute [P]_B’ , p=7-x+2x^2 b) using basis B={1,x,x^2} , compute [T]_B c_ compute [T]_B’
f(x)= 1/3x^3 + 5/2x^2 - 6x + 4; [-9,3] The absolute maximum value is ____ at...
f(x)= 1/3x^3 + 5/2x^2 - 6x + 4; [-9,3] The absolute maximum value is ____ at x = ___ (Use comma to separate answers as needed. Round to two decimal places as needed) The absolute minimum value is ____ at x = ___ (Use comma to separate answers as needed. Round to two decimal places as needed)
Solve for x x^4 + 2x^3 + 2x^2 + 3x + 1 = 0
Solve for x x^4 + 2x^3 + 2x^2 + 3x + 1 = 0
Find the derivatives of each of the following functions: 1. f(x) = (3x^2 + 2x −...
Find the derivatives of each of the following functions: 1. f(x) = (3x^2 + 2x − 7)^5 (2x + 1)^8 2. g(t) = cos(e^2x2+8x−3) 3. h(x) = e^x2/tan(2x−3) 4. Find dy/dx if cos(xy) = x^2y^5
Find all x values for which the function y = x^3 + 6x^2 + 3x +...
Find all x values for which the function y = x^3 + 6x^2 + 3x + 7 has a horizontal tangent line. Find the derivative of f(x) using the definition for a limit.
For the function f(x) = x^2 +3x / 2x^2 + 7x +3 find the following, and...
For the function f(x) = x^2 +3x / 2x^2 + 7x +3 find the following, and use it to graph the function. Find: a)(2pts) Domain b)(2pts) Intercepts c)(2pts) Symmetry d) (2pts) Asymptotes e)(4pts) Intervals of Increase or decrease f) (2pts) Local maximum and local minimum values g)(4pts) Concavity and Points of inflection and h)(2pts) Sketch the curve
Find the area of the region. 1) y=6x^2 and y= 8x-2x^2 2) y=1/2sin(pi x/6) and y=1/6x...
Find the area of the region. 1) y=6x^2 and y= 8x-2x^2 2) y=1/2sin(pi x/6) and y=1/6x 3) y=x^3-4x and y=5x
a.) Find a basis for the row space of matrix B. b.) Find a basis for the column space of matrix B.
For the given matrix B= 1 1 1 3 2 -2 4 3 -1 6 5 1 a.) Find a basis for the row space of matrix B. b.) Find a basis for the column space of matrix B. c.)Find a basis for the null space of matrix B. d.) Find the rank and nullity of the matrix B.
Find all functions f(x) with f′′(x) = 3x^3 − 2x^2 + x, f(0) = 1, and...
Find all functions f(x) with f′′(x) = 3x^3 − 2x^2 + x, f(0) = 1, and f(1) = 1.
ADVERTISEMENT
ADVERTISEMENT
ADVERTISEMENT