Question: In order for a linear system with augmented matrix [A ( b] to be consistent, what must be true about the ranks of A and

In order for a linear system with augmented matrix [A ( b] to be consistent, what must be true about the ranks of A and [A ( b]?

Step by Step Solution

★★★★★

3.42 Rating (161 Votes )

There are 3 Steps involved in it

1 Expert Approved Answer
Step: 1 Unlock

Rank A rank A b since any zero rows in an echelon form of A b are also zero rows in a row eche... View full answer

blur-text-image
Question Has Been Solved by an Expert!

Get step-by-step solutions from verified subject matter experts

Step: 2 Unlock
Step: 3 Unlock

Document Format (1 attachment)

Word file Icon

859-L-A-L-S (2327).docx

120 KBs Word File

Students Have Also Explored These Related Linear Algebra Questions!

Q:

For what value(s) of k is the linear system with augmented matrix inconsistent? 1

Q:

Determine by inspection (i.e., without performing any calculations) whether a linear system with he given augmented matrix has a unique solution, infinitely many solutions, or no solution. Justify...

Q:

Determine by inspection (i.e., without performing any calculations) whether a linear system with he given augmented matrix has a unique solution, infinitely many solutions, or no solution. Justify...

Q:

1) (1 point) FOR EACH PROBLEM ON THIS ASSIGNMENT, ENSURE THAT YOU TAKE NOTE OF HOW MANY ATTEMPTS ARE GIVEN. SOME OF THE PROBLEMS MAY ONLY ALLOW FOR ONE OR TWO ATTEMPTS DUE TO THE NATURE OF THE...

Q:

Please solve all. Or don't attempt. (a) Find the inverse matrix A-, if it exits. (b) Without computing the products, determine whether the following products are possible. And if so, what is the size...

Q:

1. For what values of h the system below is: a) Consistent and has unique solution b) Consistent and has infinitely c) Inconsistent many solutions x1-2x2 + x3 = 4 -2x1 +x2+x39 2. A consist 3. Find...

Q:

Handwritten HW 4\ Page 35\ 23. Mark the statement True or False (T)F), Justify your answer.\ Another notation for the vector [[-4],[3]] is [[-4,3]] .\ Solution: True. Although column form is...

Q:

Hi, Can you please provide the answers to the following multiple choice questions. Thanks, Question 1 of 8 Which of the following equations is not linear in the unknowns * and ) ? O A. 10 O B. 3' x -...

Q:

Hi, I have a few questions that I'm not too sure about can you check over them and tell me if they are right or wrong, if the question is wrong please provide the correct answer. bolded answers are...

Q:

Hi, I have a few questions that I'm not too sure about can you check over them and tell me if they are right or wrong, if the question is wrong please provide the correct answer. bolded answers are...

Q:

The Endeavour insurance company issues life annuities. It prices its annuities using the following probabilities. Survival probabilities Year Probability of surviving from start of year to end of...

Q:

Who let the Ice Dogs out? Actually, the question is whether the ownership of the Bozeman Ice Dogs, a Junior A hockey team, violated its written contract of employment with the teams coach and general...

Q:

What are the requirements for a transfusion to be classified as massive in an adult? 1 0 units within 1 week 5 units within 1 week 1 0 units within 2 4 hours 5 units within 2 4 hours

Q:

Because interval-level numbers have _____, we can meaningfully speak of the distance between two scores.

Q:

Verify Theorem 3.32 by finding the matrix of S º T (a) By direct substitution (b) By matrix multiplication of [S][T]. X1 [ 4y1 2y2 + , + , , T X2 2 , + . 2 2

Q:

Verify Theorem 3.32 by finding the matrix of S º T (a) By direct substitution (b) By matrix multiplication of [S][T]. X1 1 2 + 2, X3. 1 T 2 + 2 - + 2- [ 2, X

Q:

Verify Theorem 3.32 by finding the matrix of S º T (a) By direct substitution (b) By matrix multiplication of [S][T]. 2 X + X1 1 X, + , . S y2 2 |T + . X, + -.

Q:

AA myopenmath.com Lab 15 Confidence Intervals II Score: 4/91 0/11 answered Progress saved Done . . . Question 2 1/5 pts 9 1-3 23 0 Details Score on last try: 1 of 5 pts. See Details for more. > Next...

Q:

Statistics help The Acme Pro Office service provides temporary office personnel for many corporations. They have found that 88% of their invoices are paid within 10 working days by these...

Q:

What is AEI's times-interested-earned (TIE) ratio? TIE RATIO AEI Incorporated has $5 billion in assets, and its tax rate is 40%, Its basic earning power (BEP) ratio is 10%, and its return on assets...