If $ E $ is an elementary matrix for which $ EA = B $ where:\[A = \begin{bmatrix} 1 & 3 & -3 & -3 & 0 \\3 & -1 & -1 & 2 & 3 \\-3 & 2 & 2 & 0 & -2 \\2 & 0 & -2 & -3 & -2 \end{bmatrix}\]\[B = \begin{bmatrix} 19 & 3 & -21 & -30 & -18 \\3 & -1 & -1 & 2 & 3 \\-3 & 2 & 2 & 0 & -2 \\2 & 0 & -2 & -3 & -2\end{bmatrix}\]Then:\[E = \begin{bmatrix} \Box & \Box & \Box & \Box \\\Box & \Box & \Box & \Box \\\Box & \Box & \Box & \Box \\\Box & \Box & \Box & \Box\end{bmatrix}\]

Answered: Image /qna-images/answer/738afca4-7e10-4e35-abc9-56964846ae3b.jpg

Answered: If E is an elementary matrix for which…

If E is an elementary matrix for which EA = B where: 1 3 - 3 -3 -1 -1 2 A = 3 2 - 2 - 2 - 2 3 -2 19 3 - 21 - 30 – 18 -1 -1 3 B = 3 – 2 - 2 - 2 3 - 2 then: E = 2. 2. 3. 2.

Advanced Engineering Mathematics

10th Edition

ISBN:9780470458365

Author:Erwin Kreyszig

Publisher:Erwin Kreyszig

Chapter2: Second-order Linear Odes

Section: Chapter Questions

Problem 1RQ

See similar textbooks

Related questions

Q: Compute A² 2A + I. 2 0 1 0 -5 0 5 0 2 NOTE: Write the elements of the matrix exactly. A = -(0 A² -…

A: We have to find the value:A2-2A+IWe can simply calculate matrix multiplication and matrix addition

Q: S[y] given by y = cosh æ + B sinhx, 0 0,

Q: For the matrix A = 2 3 20 06 7 3 what is the value of |A|?

Q: Ex. 600. Given the 2x2 Matrix A 1 2 11 3 Determine B=A+A and C=A-A Answers:…

Q: find A*B and B*A for the matrices A= 10 1 2 1 1 3 2 -1 B= 0 0 3 1 2 4 -1 -1 0

A: We have to find AB and BA for the matrices A=10121132-1…

Q: 9. Do the columns of the matrix A = 7. span R

Q: 2 1 -1 3 1 9. Calculate the rank of the matrix P = | 2 1 2 0 3 1 1 1 |-1 -5 -3 -7 3|

A: P=210-131212003111-1-5-3-73

Q: Is the following matrix diagonalizable?

Q: 3. Give an example of two 2 × 2 matrices A and B for which (AB)² # A²B².

A: To prove above equation with an example

Q: Find the inverse of the given matrix using Adjoint Matrix: 1 -1 0 0 -1 2 -1 0 0 -1 2 -1 0 0 -1 2

A: We know A-λI = 0 A-λI = 1-1 0 0-1 2-1 0 0-1 2-1 0 0-1 2-λ1000010000100001 = 0

Q: Given the following matrices A and B, find an invertible matrix U such that UA = B: You can resize a…

Q: 2 Consider the matrix below. What is the value of 2a11 – 3a22+ a32 =? - 5 A = (aj) -1 3 -1 b) 4 d)…

Q: If the ratio of boys to girls in tennis camp is 3:5 if there are 64 campers, how many are girls

A: We find out how many girls as follows: • We first need to determine the total number of parts in…

Q: Let A be a matrix given by 3-6 -1 4 -8 -2 -3 6 3 Find a 3x3 matrix B such that B 0 and AB = 0. A =

A: A=3-6-14-8-2-363 Finding the eigen value of the matrix A A-λI=3-λ-6-14-8-λ-2-36-λ3-λ…

Q: 1 For the matrix A = 2 3 -2 0 7 4 6 3, what is the value of |A|?

Q: b. If possible, produce a diagonal matrix similar to the following one 2 2 1

A: Use the following formulae, to obtain the solution. The eigenvalues λ1 and λ2 of the matrix A are…

Q: Which one of the following is an upper triangular matrix? .a 5 3 1 0 -5 2.6 0 0 5 .b

A: Upper triangular matrix is the matrix in which the values below the main diagonal are zero and the…

Q: Let A = 1 - 3 1 0 [2] • [R -[ - ] - [ ] b₁ = b₂ = b3 5 12 -9 -3 -6 a. Find A and b4 = 4 12 1 and use…

A: The matrix A is given by A=12512. The matrices b1,b2,b3 and b4 are given by: b1=-3-9, b2=1-3,…

Q: Find the matrix A such that 10 [-13]4 ;]₁ = [ A -1 3 Hint: Let A = A = a b [26] d -1 -5 2 8

Q: Given a matrix A = for what conditions on a, b, c, and d will the matrix not have an inverse?

Q: If A is an m x p matrix and B is a p x n matrix, then their product AB will be?

A: Two matrix can only be miltiplied if number of column of first matrix is equal to number of row of…

Q: 7. −ydx + (x + √xy)dy = 0

Q: Show that A = P-¹ = 2 -1 -5 2 -2 -2 0 1 -4 and B = 3 6 -8 2 2 -4 , P = 4 6 are similar matrices by…

A: Given: and To show: and are similar matrices by finding an invertible matrix satisfying

Q: 1. Determine whether the following statement is True or False. Explain why in 1-2 sentences. Let A…

Q: Which of the following matrix operations is undefined? A. E+HG B. G−HTH C. EFTG…

Q: Q10. If the adjoint matrix (ACT) of a matrix A is given by 2 2 of A is (-2 1 2), then the det (A)…

Q: Multiply matrix A with matrix B as BA if it is given that: 1 2 -1y 2 2 1 -2 2 -1 and B =| A = 3 1 -1…

Q: find an elementary matrix E that satisfies the given equation ED = C

A: Let the given matrices are, Give that ED=C

Q: Find the matrix A if 2 1 A = 4 2 %3D -1 3 1 3 B3: A =

Q: If A-1 = 3 3 -9 -12 , then the a2,1 entry of the matrix A is

Q: Given three matrices 1 A (3) 05 02 c-(; 3) C = 1 1 1 D -(0) Determine the matrix B such that (A + B)…

A: Matrix B is found by comparing entries

Q: 3 If A= 2x+ x- is a symmetric matrix, then x ? 3 x+2 (A) 4 (B) 3 (C) -4 (D) -3 O A

A: we have given A is a symmetric matrix. We have to find the value of x

Question

100%

If $ E $ is an elementary matrix for which $ EA = B $ where:

\[
A = \begin{bmatrix}
1 & 3 & -3 & -3 & 0 \\
3 & -1 & -1 & 2 & 3 \\
-3 & 2 & 2 & 0 & -2 \\
2 & 0 & -2 & -3 & -2
\end{bmatrix}
\]

\[
B = \begin{bmatrix}
19 & 3 & -21 & -30 & -18 \\
3 & -1 & -1 & 2 & 3 \\
-3 & 2 & 2 & 0 & -2 \\
2 & 0 & -2 & -3 & -2
\end{bmatrix}
\]

Then:

\[
E = \begin{bmatrix}
\Box & \Box & \Box & \Box \\
\Box & \Box & \Box & \Box \\
\Box & \Box & \Box & \Box \\
\Box & \Box & \Box & \Box
\end{bmatrix}
\]

Expert Solution

This question has been solved!

Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.

This is a popular solution!

SEE SOLUTION Check out a sample Q&A here

Step 1

VIEW

Step 2

VIEW

Trending now

This is a popular solution!

Step by step

Solved in 2 steps with 1 images

SEE SOLUTION Check out a sample Q&A here

Knowledge Booster

$Determinant$

Learn more about

Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, advanced-math and related others by exploring similar questions and additional content below.

Similar questions

I believe A is correct, but I am not sure about w. It needs to be written as a fraction. Thanks!
Suppose that A is a 3×3 matrix and det (A)=-3. What is det (4A)? Select one: O a. -3/4 O b. -3 О с. -12 O d. -192
Find the LU- Factorization of the matrix A below 2 1 -1 -2 A = 1 -4 1 -4 4 5 -2
solve (c)
Let A and B be n-by-n matrices. Which of the following conditions is sufficient to conclude that AB=BA? (a) A+B=B+ A. (c) A²-B² = (A + B)(A − B). (b) (AB)² = A²B². (d) (A + B)² = A² + B².
If A is an m × n matrix, then Col(A" A) = Col(A). true false