Please show full workings only answer if you know how.
Homework Answers
Add Answer to:
Please show full workings only answer if you know how. (5) Consider the 3 x 3 matrix A - I - avv7 where a e R. I is the...
(5) Consider the 3 x 3 matrix A = 1-ovyT where the vector E R, 1 is the identity matrix and v (a) Determine the eigenva...
(5) Consider the 3 x 3 matrix A = 1-ovyT where the vector E R, 1 is the identity matrix and v (a) Determine the eigenvalues and eigenvectors of A. b) Hence find a matrix which diagonalises A. c) For which a is the matrix A singular? (d) For which a is the matrix A orthogonal ?
(5) Consider the 3 x 3 matrix A = 1-ovyT where the vector E R, 1 is the identity matrix and v (a)...
Consider the 3 x 3 matrix A-1-ovvT where a R, 1 is the identity matrix and v the vector (a) Determine the eigenvalues and eigenvectors of A (b) Hence find a matrix which diagonalises A. (c) For which...
Consider the 3 x 3 matrix A-1-ovvT where a R, 1 is the identity matrix and v the vector (a) Determine the eigenvalues and eigenvectors of A (b) Hence find a matrix which diagonalises A. (c) For which a is the matrix A singular? (d) For which α is the matrix A orthogonal ?
Consider the 3 x 3 matrix A-1-ovvT where a R, 1 is the identity matrix and v the vector (a) Determine the eigenvalues and eigenvectors of...
Consider the 3 x 3 matrix A defined as follows 7 4-4 a) Find the eigenvalues...
Consider the 3 x 3 matrix A defined as follows 7 4-4 a) Find the eigenvalues of A. Is A singular matrix? b) Find a basis for each eigenspace. Then, determine their dimensions c) Find the eigenvalues of A10 and their corresponding eigenspaces. d) Do the eigenvectors of A form a basis for IR3? e) Find an orthogonal matrix P that diagonalizes A f) Use diagonalization to compute A 6
1. Consider the matrix and vectors A=(: -5] -- [].x = [1] a. Show that the...
1. Consider the matrix and vectors A=(: -5] -- [].x = [1] a. Show that the vectors v1 and v2 are eigenvectors of A and find their associated eigenvalues. Evaluate (Sage) D. Express the vector x = as a linear combination of vi and v2. c. Use this expression to compute Ax, APx, and A 'xas a linear combination of eigenvectors.
Please only answer if you know how. Please show full workings. Regards (3) Consider the vector field Fa where a is a constant vector and let V be the region in R3 bounded by the surfaces2 +y2-4, 1,z-...
Please only answer if you know how. Please show full workings.
Regards
(3) Consider the vector field Fa where a is a constant vector and let V be the region in R3 bounded by the surfaces2 +y2-4, 1,z-0. Find the outward flux of F onsider the vector ће across the closed surface S ofV.
(3) Consider the vector field Fa where a is a constant vector and let V be the region in R3 bounded by the surfaces2 +y2-4, 1,z-0....
3, (a) [5 marks] what does it mean for A E Rnxn to be (i) symmetric?...
3, (a) [5 marks] what does it mean for A E Rnxn to be (i) symmetric? (ii) orthogonal? (ii) diagonalisable? (iv) orthogonally diagonalisable? (b) [4 marks] Suppose that A ERn is orthogonally diagonalisable. Prove that A is symmetric. (c) [11 marks] Let A be the matrix 6 -2 Show that the eigenvalues are 7 and -6. Show that any corresponding eigenvectors vi and v2 are orthogonal with respect to the Euclidean inner product (d) [5 marks] Hence prove that the...
How to do Part 3? -- Find e^(At), the exponential of matrix A, where t ∈ ℝ is any real number.
How to do Part 3? -- Find e^(At), the exponential of matrix A,
where t ∈ ℝ is any real number.
Part 1: Finding Eigenpairs [10 10 5 10 -5 Find the eigenvalues λ,A2 and their corresponding eigenvectors vi , v2 of the matrix A- (a) Eigenvalues: 1,222.3 (b) Eigenvector for 21 you entered above: Vi = <-1/2,1> (c) Eigenvector for 22 you entered above: Part 2: Diagonalizability (d) Find a diagonal matrix D and an invertible matrix P D,...
02. (8,2, 5) You are provided with a system of linear equations Ax - ye, where A R r ER2,yER2 and e e Ri. Let the s...
02. (8,2, 5) You are provided with a system of linear equations Ax - ye, where A R r ER2,yER2 and e e Ri. Let the spectral decomposition of A is given by V2/2 V2/2( containing 1 0 containing eigenvalues of A and V2/22/2 Lo 5 corresponding orthonormal eigenvectors a) Determine the best approximation of the unknow vector x, when the observerd vector y 181
02. (8,2, 5) You are provided with a system of linear equations Ax - ye,...
solve them clear with details please thank you Q1. Let A = be a 2 x...
solve them clear with details please thank you
Q1. Let A = be a 2 x 2 matrix. 45 (a) Find the characteristic polynomial of the matrix A. (5 pts) (b) Find all eigenvalues and associated eigenvectors of the matrix A. (10 pts) (c) If A is an eigenvalue of A, what do you think it would be the eigenvalue of the matrix 5A?Justify your answer) (5 pts) 0 Q2. Consider the matrix A = 6 2 -5 0 -6...
I know A-D. Please do E-G only. Thanks! [ 1 ] [ 0 ] = W,...
I know A-D. Please do E-G only. Thanks!
[ 1 ]
[ 0 ] = W, W_2 is found in part F
[ 1 ]
3. (Taken from Boyce & DiPrima) Consider the 3-dimensional system of linear equations Ti 11] X' = AX = 2 1 -1 x 1-3 2 4 (a) Show that the three eigenvalues of the coefficient matrix, A, are 1, = lyd = 2. This is an eigenvalue of multiplicity 3. (b) Show that all the...
(5) Consider the 3 x 3 matrix A = 1-ovyT where the vector E R, 1 is the identity matrix and v (a) Determine the eigenvalues and eigenvectors of A. b) Hence find a matrix which diagonalises A. c) For which a is the matrix A singular? (d) For which a is the matrix A orthogonal ?
(5) Consider the 3 x 3 matrix A = 1-ovyT where the vector E R, 1 is the identity matrix and v (a)...
Consider the 3 x 3 matrix A-1-ovvT where a R, 1 is the identity matrix and v the vector (a) Determine the eigenvalues and eigenvectors of A (b) Hence find a matrix which diagonalises A. (c) For which a is the matrix A singular? (d) For which α is the matrix A orthogonal ?
Consider the 3 x 3 matrix A-1-ovvT where a R, 1 is the identity matrix and v the vector (a) Determine the eigenvalues and eigenvectors of...
Consider the 3 x 3 matrix A defined as follows 7 4-4 a) Find the eigenvalues of A. Is A singular matrix? b) Find a basis for each eigenspace. Then, determine their dimensions c) Find the eigenvalues of A10 and their corresponding eigenspaces. d) Do the eigenvectors of A form a basis for IR3? e) Find an orthogonal matrix P that diagonalizes A f) Use diagonalization to compute A 6
1. Consider the matrix and vectors A=(: -5] -- [].x = [1] a. Show that the vectors v1 and v2 are eigenvectors of A and find their associated eigenvalues. Evaluate (Sage) D. Express the vector x = as a linear combination of vi and v2. c. Use this expression to compute Ax, APx, and A 'xas a linear combination of eigenvectors.
Please only answer if you know how. Please show full workings.
Regards
(3) Consider the vector field Fa where a is a constant vector and let V be the region in R3 bounded by the surfaces2 +y2-4, 1,z-0. Find the outward flux of F onsider the vector ће across the closed surface S ofV.
(3) Consider the vector field Fa where a is a constant vector and let V be the region in R3 bounded by the surfaces2 +y2-4, 1,z-0....
3, (a) [5 marks] what does it mean for A E Rnxn to be (i) symmetric? (ii) orthogonal? (ii) diagonalisable? (iv) orthogonally diagonalisable? (b) [4 marks] Suppose that A ERn is orthogonally diagonalisable. Prove that A is symmetric. (c) [11 marks] Let A be the matrix 6 -2 Show that the eigenvalues are 7 and -6. Show that any corresponding eigenvectors vi and v2 are orthogonal with respect to the Euclidean inner product (d) [5 marks] Hence prove that the...
How to do Part 3? -- Find e^(At), the exponential of matrix A,
where t ∈ ℝ is any real number.
Part 1: Finding Eigenpairs [10 10 5 10 -5 Find the eigenvalues λ,A2 and their corresponding eigenvectors vi , v2 of the matrix A- (a) Eigenvalues: 1,222.3 (b) Eigenvector for 21 you entered above: Vi = <-1/2,1> (c) Eigenvector for 22 you entered above: Part 2: Diagonalizability (d) Find a diagonal matrix D and an invertible matrix P D,...
02. (8,2, 5) You are provided with a system of linear equations Ax - ye, where A R r ER2,yER2 and e e Ri. Let the spectral decomposition of A is given by V2/2 V2/2( containing 1 0 containing eigenvalues of A and V2/22/2 Lo 5 corresponding orthonormal eigenvectors a) Determine the best approximation of the unknow vector x, when the observerd vector y 181
02. (8,2, 5) You are provided with a system of linear equations Ax - ye,...
solve them clear with details please thank you
Q1. Let A = be a 2 x 2 matrix. 45 (a) Find the characteristic polynomial of the matrix A. (5 pts) (b) Find all eigenvalues and associated eigenvectors of the matrix A. (10 pts) (c) If A is an eigenvalue of A, what do you think it would be the eigenvalue of the matrix 5A?Justify your answer) (5 pts) 0 Q2. Consider the matrix A = 6 2 -5 0 -6...
I know A-D. Please do E-G only. Thanks!
[ 1 ]
[ 0 ] = W, W_2 is found in part F
[ 1 ]
3. (Taken from Boyce & DiPrima) Consider the 3-dimensional system of linear equations Ti 11] X' = AX = 2 1 -1 x 1-3 2 4 (a) Show that the three eigenvalues of the coefficient matrix, A, are 1, = lyd = 2. This is an eigenvalue of multiplicity 3. (b) Show that all the...
Most questions answered within 3 hours.
-
Consider the competitive environment of Starbuck's, Progressive
Insurance, a manufacturing firm with low turnover, or a...
asked 3 minutes ago -
3. Gains from trade
Consider two neighbouring island countries called Euphoria and
Contente. They each have...
asked 1 hour ago -
A business executive has the option to invest money in two
plans: Plan A guarantees that...
asked 4 hours ago -
Hello, can someone please help me answer this question?
How much heat is absorbed by a...
asked 4 hours ago -
. A marketing researcher conducted a survey of 25 shoppers
randomly selected at the local mall...
asked 4 hours ago -
Create an comprehensive response to the
following:
Antimicrobial agents work on a multitude of microbes (bacteria,...
asked 4 hours ago -
6.13 LAB: Step counter. Section 6.3.
A pedometer treats walking 2,000 steps as walking 1 mile....
asked 4 hours ago -
(14.2) A block of mass m = 10 kg riding on a frictionless
horizontal plane is...
asked 4 hours ago -
Use any search engine to search for articles about Starbucks
partnership with Tata Companies in India...
asked 4 hours ago -
Let’s say that for some reason Bank Excess Reserves suddenly
increase sharply. What effect would this...
asked 4 hours ago -
Given:
Curent Assets: $600,000
Total Assets: $2,600,000
Current Liabilities: $500,000
Total Liabilities: $1,700,000
What is the...
asked 4 hours ago -
1. What is a “Bankster”? What is insider trading? Why is it
illegal?
2. What is...
asked 4 hours ago