Question

Let A = (1 0 2 -1 2 4) and J = (1 0 0 0...

Let A = (1 0 2 -1 2 4) and J = (1 0 0 0 1 0)    A and J are 3*2 matrices.

1. Find elementary matrices E1,...,Ep,G1,...,Gq so that E1···EpAG1···Gq = J

2. Find elementary matrices E'1,...,E'p,G'1,...,G'q so that E'1···E'pJG'1···G'q = A

Math   Advanced-Math   
0 0
Add a commentTranscribed image text
Next >

Homework Answers

Answer #1

Note that elementary matrices are square matrices used to apply elementary row operations or column operations,

Please give a thumbs up

0 0
Know the answer?
Your Answer:

Post as a guest

Your Name:

What's your source?

Earn Coins

Coins can be redeemed for fabulous gifts.

Log In

Sign Up

Not the answer you're looking for?
Ask your own homework help question
Similar Questions
Let B = {(1, 3), (?2, ?2)} and B' = {(?12, 0), (?4, 4)} be bases...
Let B = {(1, 3), (?2, ?2)} and B' = {(?12, 0), (?4, 4)} be bases for R2, and let A = 3 2 0 4 be the matrix for T: R2 ? R2 relative to B. (a) Find the transition matrix P from B' to B. P = (b) Use the matrices P and A to find [v]B and [T(v)]B, where [v]B' = [1 ?5]T. [v]B = [T(v)]B = (c) Find P?1 and A' (the matrix for T relative...
A= 2 -3 1 2 0 -1 1 4 5 Find the inverse of A using...
A= 2 -3 1 2 0 -1 1 4 5 Find the inverse of A using the method: [A | I ] → [ I | A-1 ]. Set up and then use a calculator (recommended). Express the elements of A-1 as fractions if they are not already integers. (Use Math -> Frac if needed.) (8 points) Begin the LU factorization of A by determining a first elementary matrix E1 and its inverse E1-1. Identify the associated row operation. (That...
Let B = {(1, 2), (−1, −1)} and B' = {(−4, 1), (0, 2)} be bases...
Let B = {(1, 2), (−1, −1)} and B' = {(−4, 1), (0, 2)} be bases for R2, and let A = −1 2 1 0 be the matrix for T: R2 → R2 relative to B. (a) Find the transition matrix P from B' to B. P = (b) Use the matrices P and A to find [v]B and [T(v)]B , where [v]B' = [−3 1]T. [v]B = [T(v)]B = (c) Find P inverse−1 and A' (the matrix for...
write the following matrices as a product of elementary matrices: a) 1 2 4 9 b)...
write the following matrices as a product of elementary matrices: a) 1 2 4 9 b) 1 -2 -1 -1 5 6 5 -4 5 c) 1 0 -2 -3 1 4 2 -3 4
Suppose f(1) = −1, f(2) = 0, g(1) = 2, g(2) = 7, and f 0...
Suppose f(1) = −1, f(2) = 0, g(1) = 2, g(2) = 7, and f 0 (1) = 1, f0 (2) = 4, g0 (1) = 8, g0 (2) = −4. (a) Suppose h(x) = f(x^2 g(x)). Find h 0 (1). (b) Suppose j(x) = f(x) sin(x − 1). Find j 0 (1). (c) Suppose m(x) = ln(x)+arctan(x) e x+g(2x) . Find m0 (1).
Let ?= 2 -4 -2 -4 and let TA:?2×2→?2×2 be the linear transformation defined by ??(?)=...
Let ?= 2 -4 -2 -4 and let TA:?2×2→?2×2 be the linear transformation defined by ??(?)= [?,?] find linearly independent matrices that span the range of ?A.
Let V be the vector space of 2 × 2 matrices over R, let <A, B>=...
Let V be the vector space of 2 × 2 matrices over R, let <A, B>= tr(ABT ) be an inner product on V , and let U ⊆ V be the subspace of symmetric 2 × 2 matrices. Compute the orthogonal projection of the matrix A = (1 2 3 4) on U, and compute the minimal distance between A and an element of U. Hint: Use the basis 1 0 0 0   0 0 0 1   0 1...
let A (1 , 2, -3), B (2, 1, 4) and C (0, 0, 2) be...
let A (1 , 2, -3), B (2, 1, 4) and C (0, 0, 2) be three points in R^3 a) give the parametric equation of the line orthogonal to the plane containing A, B and C and passing through point A. b) find the area of the triangle ABC linear-algebra question show clear steps and detailed solutions solve in 30 minutes for thumbs up rating :)
5. J and K are independent events. P(J | K) = 0.7. Find P(J). 6. Suppose...
5. J and K are independent events. P(J | K) = 0.7. Find P(J). 6. Suppose that you have 10 cards. 6 are green and 4 are yellow. The 6 green cards are numbered 1, 2, 3, 4, 5, and 6. The 4 yellow cards are numbered 1, 2, 3, and 4. The cards are well shuffled. You randomly draw one card. • G = card drawn is green • Y = card drawn is yellow • E = card...
int main() { int i, j, sum = 0; for(i=0;i<3;i++) { for(j=0;j<4;j++) { if(j > 2)...
int main() { int i, j, sum = 0; for(i=0;i<3;i++) { for(j=0;j<4;j++) { if(j > 2) break; sum++; } } } What is value of sum, explain.
ADVERTISEMENT
Need Online Homework Help?

Get Answers For Free
Most questions answered within 1 hours.

Ask a Question
ADVERTISEMENT