+61-413 786 465

info@mywordsolution.com

 Algebra Math Calculus Physics Chemistry Biology Earth Science Physiology History Humanities English Sociology Nursing Science

problem1)

Determine the value of c (if any) so that the system of equations with the following augmented matrix has the requested number of solutions. Make your rationale clear!
(a) No solution.
(b) Infinitely many solutions.
(c) Exactly one solution.
(d) Exactly two solutions.

problem2)

Find the inverse of the following matrix by using Gauss-Jordan elimination applied to (A|I). Please show all the details. It’s a good idea to validate your answer by selecting sample values of parameters a; b; c and checking (using a calculator) that your calculations give a correct answer.

problem3). Using the result of problem 2, find the inverse of the matrix problem4) Give an ex of matrices A and B such that AB exists but BAdoesn’t.

problem5) Give an ex of a matrix A such tah A2 = 0. (A2 means AA).

Questio6) Show that if A is an n   n invertible matrix, there could be no nonzero n   n matrix B such that AB = 0.
HINT: Sometimes, when you need to show that something could not happen, a good way to argue is to suppose that it could and then arrive to a logical contradiction.

problem7) Find elementary matrices E1 and E2, such that U = E2E1A is upper triangular. Factor A into A = LU by finding inverses of E1 and E2. problem8) Consider A, L, and U from problem7, and let b= Solve the system Ax = b by solving the equation Ly = b first (using substitution). Once you find y, solve the equation Ux = y by back substitution.

• Category:- Algebra
• Reference No.:- M9372

Have any Question?

## Related Questions in Algebra

### Assignment topic - abstract algebraq1 let r be the ring of

Assignment Topic - Abstract Algebra Q1: Let R be the ring of all 2 X 2 matrices over Z p , p is a prime. Let G be the set of elements x in the ring R such that det(x) ≠ 0. Find the order of G. Q2: If R is a commutative r ...

• 13,132 Experts

## Looking for Assignment Help?

Start excelling in your Courses, Get help with Assignment

Write us your full requirement for evaluation and you will receive response within 20 minutes turnaround time.

### Why might a bank avoid the use of interest rate swaps even

Why might a bank avoid the use of interest rate swaps, even when the institution is exposed to significant interest rate

### Describe the difference between zero coupon bonds and

Describe the difference between zero coupon bonds and coupon bonds. Under what conditions will a coupon bond sell at a p

### Compute the present value of an annuity of 880 per year

Compute the present value of an annuity of \$ 880 per year for 16 years, given a discount rate of 6 percent per annum. As

### Compute the present value of an 1150 payment made in ten

Compute the present value of an \$1,150 payment made in ten years when the discount rate is 12 percent. (Do not round int

### Compute the present value of an annuity of 699 per year

Compute the present value of an annuity of \$ 699 per year for 19 years, given a discount rate of 6 percent per annum. As