linear algebra Define the linear transformation T by T(x) = Ax. 4 1 A = 32...

Question

Question

linear algebra

Define the linear transformation T by T(x) = Ax. 4 1 A = 32 (a) Find the kernel of T. (If there are an infinite number of sol

Answer 1

Answer #1

T be linear transformation defind by T(x) = AX, T:R?IR? where As [ 41 3 2 kerti)= { v: TCU) = 0 VER?} let 2 ez [2] FIR? in re

Answer 2

Similar Homework Help Questions

Define the linear transformation T by T(x) = Ax. 32 A= (a) Find the kernel of...

Define the linear transformation T by T(x) = Ax. 32 A= (a) Find the kernel of T. (If there are an infinite number of solutions use t as your parameter.) ker(1) (b) Find the range of T. O {(-t, t): t is any real number) OR? O {(2t, t): t is any real number) O {(t, 2t): t is any real number) OR
Define the linear transformation T by T(X) = AX. 14 A= 32 (a) Find the kernel...

Define the linear transformation T by T(X) = AX. 14 A= 32 (a) Find the kernel of T. (If there are an infinite number of solutions use t as your parameter.) ker(7) (b) Find the range of T. O {(t, 2t): t is any real number) O R2 O {(-t, t): t is any real number) OR {(2t, t): t is any real number)
Define the linear transformation T by T(x) = Ax. 1 -1 A= 0 1 (a) Find...

Define the linear transformation T by T(x) = Ax. 1 -1 A= 0 1 (a) Find the kernel of T. (If there are an infinite number of solutions use t as your parameter.) ker(T) = = { ]} (b) Find the range of T. OR? {(3t, t): t is any real number OR {(t, 36): t is any real number} {(-t, t): t is any real number}

Define the linear transformation T by T(X) = Ax. 1 -1 3 A = 0 1...

Define the linear transformation T by T(X) = Ax. 1 -1 3 A = 0 1 3 1. (a) Find the kernel of T. (If there are an infinite number of solutions use t as your parameter.) ker(T) = (b) Find the range of T. {(-t, t): t is any real number} O R² O {(t, 3t): t is any real number} R {(3t, t): t is any real number}
Define the linear transformation T by T(x) -Ax 12-1 41 3 12-1 (a) Find the kernel...

Define the linear transformation T by T(x) -Ax 12-1 41 3 12-1 (a) Find the kernel of T. (If there are an infinite number of solutions use t as your parameter.) ker(T) (b) Find the range of T spant(1, 0, -1, 0), (0, 0, 0, 1)) span (1, 0, -1, o), (0, 1, -1, 0) spant(1, 0, -1, o), (0, 1, -1, 0), (0, 0, 0, 1)) R4 R3 O S
23. [0/2 Points DETAILS PREVIOUS ANSWERS LARLINALGS 6.2.013. MY NOTES ASK YOUR TEACHER PRACTICE ANOTHER Define...

23. [0/2 Points DETAILS PREVIOUS ANSWERS LARLINALGS 6.2.013. MY NOTES ASK YOUR TEACHER PRACTICE ANOTHER Define the linear transformation T by Tx) - AX (a) Find the kernel of T. (If there are an infinite number of solutions use t as your parameter.) ker(- { -1,1,1,0 } (b) Find the range of T. <C-t, t): tis any real number) {(4): t is any real number) {(4, t): t is any real number) R? Need Help? Read Tutor 24. [0/2 points)...

Define the linear transformation T by T(x) - Ax. Find ker(T), nullity(T), range(T), and rank(T). 7-5 1 -1 (a) ker(T) (0.0) 0 (c) range() O R3 (6s, 6t, s - t): s, t are any real number) O (s, t, s-6):...

Define the linear transformation T by T(x) - Ax. Find ker(T), nullity(T), range(T), and rank(T). 7-5 1 -1 (a) ker(T) (0.0) 0 (c) range() O R3 (6s, 6t, s - t): s, t are any real number) O (s, t, s-6): s, t are any real number) O ((s, t, o): s, t are any real number) (d) rank(T) 2 Need Help? Read It Talk to a Tutor Suomit Answer Save gssPracice Another Version Practice Another Version Define the linear...
Let T: R4 → R3 be the linear transformation represented by T(x) = Ax, where 1...

Let T: R4 → R3 be the linear transformation represented by T(x) = Ax, where 1 A = 0 -2 1 0 1 2 3 . 0 0 1 0 (a) Find the dimension of the domain. (b) Find the dimension of the range. (C) Find the dimension of the kernel. (d) Is T one-to-one? Explain. O T is one-to-one since the ker(T) = {0}. O T is one-to-one since the ker(T) = {0}. O T is not one-to-one since...
Define the linear transformation T:?3??4 by T(x )=Ax . Find a vector x whose image under...

Define the linear transformation T:?3??4 by T(x )=Ax . Find a vector x whose image under T is b (1 pt) Let 4 5 2 -2 5 -3 2 and b-10 -7 2 1 -4 Define the linear transformation T : R3 ? R4 by T(x-Ax Find a vector x whose image under T is b. x= Is the vectorx unique? choose

linear algebra Let T: R3 R3 be a linear transformation. Use the given information to find...

linear algebra Let T: R3 R3 be a linear transformation. Use the given information to find the nullity of T. rank(T) = 1 nullity(T) = Give a geometric description of the kernel and range of T. The kernel of T is the single point {(0, 0, 0)}, and the range of T is all of R3. O The kernel of T is all of R3, and the range of T is the single point {(0, 0, 0)}. The kernel of...