Question

(a) show that {x, e^x, e^2x} is a linearly independed set. (b) Let A be a...

(a) show that {x, e^x, e^2x} is a linearly independed set.
(b) Let A be a 7x7 matrix
if r(A)=4. find det(A), explain
if det(A)=4, find r(A), explain

Homework Answers

Know the answer?
Your Answer:

Post as a guest

Your Name:

What's your source?

Earn Coins

Coins can be redeemed for fabulous gifts.

Not the answer you're looking for?
Ask your own homework help question
Similar Questions
Show that the set {sin x,sin 2x,sin 3x} is linearly independent over R.
Show that the set {sin x,sin 2x,sin 3x} is linearly independent over R.
Let a ∈ R. Show that {e^ax, xe^ax} is a linearly independent subset of the vector...
Let a ∈ R. Show that {e^ax, xe^ax} is a linearly independent subset of the vector space C[0, 1]. Let a, b ∈ R be such that a≠b. Show that {e^ax, e^bx} is a linearly independent subset of the vector space C[0, 1].
1.Let A be an n x n matrix. Which of these conditions show that A is...
1.Let A be an n x n matrix. Which of these conditions show that A is invertible? •det A= 0 • dim (NulA) = 1 •ColA=R^n •A^T is invertible •an n x n matrix, D, exists where AD=In
4) Let V be the subspace of C[a,b] spanned by e^x ; e^−x and let Ax...
4) Let V be the subspace of C[a,b] spanned by e^x ; e^−x and let Ax be the anti-differentiation operator that also holds the constant of integration to be zero. Example: Ax(2e^−x ) = −2e^−x . Find the matrix that represents Ax() in the standard ordered basis e^x ; e^−x and call that matrix A. Find the matrix that represents Ax() in the non-standard ordered basis cosh(x); sinh(x) and call that matrix B. And write matrices A and B as...
Please show all work if needed. 1.Let E be a set with |E| = 3. What...
Please show all work if needed. 1.Let E be a set with |E| = 3. What is the cardinality of its power set? That is, find |P(E)|. QUESTION 2 Find 15 modulo 6 Find the quoitent q and the remainder r when -25 is divided by 9. Find |_-278.48_|. Let A and B be sets with A ={1,2,3,7} and B = {a,q,x} with f: A -> B, with f(1)=q, f(2) =a , f(3) =q, f(7) =x. Is f 1-1? Let...
k- If a and b are linearly independent, and if {a , b , c} is...
k- If a and b are linearly independent, and if {a , b , c} is linearly dependent, then c is in Span{a , b}. Group of answer choices j- If A is a 4 × 3 matrix, then the transformation described by A cannot be one-to-one. true/ false L- If A is a 5 × 4 matrix, then the transformation x ↦ A x cannot map R 4 onto R 5. True / false
Let X~GEOM(0.7). Let Y=e^2x. Find E[Y].
Let X~GEOM(0.7). Let Y=e^2x. Find E[Y].
Let x1, x2, ..., xk be linearly independent vectors in R n and let A be...
Let x1, x2, ..., xk be linearly independent vectors in R n and let A be a nonsingular n × n matrix. Define yi = Axi for i = 1, 2, ..., k. Show that y1, y2, ..., yk are linearly independent.
Let A be an mxn matrix. Show that the set of all solutions to the homogeneous...
Let A be an mxn matrix. Show that the set of all solutions to the homogeneous equation Ax=0 is a subspace of R^n and the set of all vectors b such that Ax=b is consistent is a subspace of R^m. Is the set of solutions to a non-homogeneous equation Ax=b a subspace of R^n? Explain why or why not.
Let F(x) = 1 − e −2x for x > 0 and F(x) = 0 for...
Let F(x) = 1 − e −2x for x > 0 and F(x) = 0 for x ≤ 0. Is F(x) a distribution function? Explain your answer. If it is a distribution function, find its density function.
ADVERTISEMENT
Need Online Homework Help?

Get Answers For Free
Most questions answered within 1 hours.

Ask a Question
ADVERTISEMENT