Question: If the equation H x = c is inconsistent for some c in R n , what can you say about the equation H x

If the equation H x = c is inconsistent for some c in Rn, what
can you say about the equation H x = 0? Why?

Step by Step Solution

★★★★★

3.34 Rating (151 Votes )

There are 3 Steps involved in it

1 Expert Approved Answer
Step: 1 Unlock

If the equation Hx c is inconsistent for some c in Rn it means that there is no solution to the syst... 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

Students Have Also Explored These Related Linear Algebra And Its Applications Questions!

Q:

Inconsistency If the matrix-vector equation Ax = b is inconsistent for some b in R", what can you determine about matrix A?

Q:

Part A When the auditor conducts substantive tests each side of the journal entry is affected, i.e. double entry accounting. For each of the following substantive tests, (and related assertion)...

Q:

In each case either show that the statement is true or give an example showing that it is false. Throughout, X, Y, Z, X1, X2,..., Xn denote vectors in Rn. (a) If U is a subspace of Rn and X+Y is in...

Q:

10 of 11 View Policies Current Attempt in Progress -/9.09 On June 1, Sheffield Corp. Ltd. borrows $69,000 from Acme Bank on a 6-month, $69,000,8% note. The note matures on Decemb (a) Prepare the...

Q:

hey! can you help me with these questions? I've attached a document that has the questions. IIB . The F li n t F a n c u rr e n t p r o d u c ts U n it v A . C o r p o r a t io n The i s c o n s id e...

Q:

For of the following situations, indicate whether it violates the AICPA's Code of Professional Conduct. If it violates the Code, indicate the rule is most directly violated and explain why. That is,...

Q:

X T (1) Meeting in "General" (N X arningontario.ca e afterhad/quiz.start.frame_a Chapter 7 ime Limit: 0:40:00 Time Left:0:39:25 Krish Chaudhari: Attempt 1 Page 1: c 180 N 3 O d) go 6 -- Question 10...

Q:

it does not come with one Assume that you are purchasing an investment and have decided to invest in a company in the digital phone business You have arrowed the choice to Digtal Corp. and Every...

Q:

HW 4.4: The author of EPQ-Columbia-lect_02 used T as the decision variable, minimized average per-unit-time cost and derived the optimal T* but did not consider the product cost c , at least not...

Q:

a. Calculate cash flows from assets, cash flows to creditors, and cash flows to shareholders for 2019. b. Create a statement of cash flow (accounting statement) for 2019. c. Calculate cash cycle. d....

Q:

On October 1, 2020, ABC Manufacturing sold a tract of land that originally cost P400,000. ABC received a P600,000, 6% note as payment for the land. The principal amount of the note is payable on...

Q:

Calculate the concentration of a solution made by diluting 67.0 mL of 4.2 M HBr to a final volume of 500.0 mL. Significant figures are graded for this problem. Be sure you do not round your answers...

Q:

0 5 - 6 1 Analytical procedures used in planning an . . . bcedures used in planning an audit should focus on identifying: Choice the various assertions that are embodied in the financial statements....

Q:

*4. Potential customers arrive at a single-server station in accordance with a Poisson process with rate . However, if the arrival finds n customers already in the station, then he will enter the...

Q:

Still assuming normality, estimate the probability p that a patients latency time will be at least 8 years? Infectious Disease A cohort of hemophiliacs is followed to elicit information on the...

Q:

Now suppose we are unwilling to assume a normal distribution for latency time. Re-estimate the probability p that a patients latency time will be at least 8 years, and provide a 95% CI for p?...

Q:

Compute the mean, standard deviation, standard error, and 95% CI for the mean verbal IQ for children with specific values of the variable lead_grp. Provide a box plot comparing the distribution of...

Q:

QUESTION 7 Suppose that your firm currently holds a money market instrument issued by a company that has a weak credit rating. Which risk does this situation refer to? a. Default risk b. Liquidity...

Q:

For each of the following transactions, indicate how (a) net earnings and (b) cash flows are affected. For each transaction, enter the amount, (if any) as an increase or as a decrease. If there is no...

Q:

Income Tax Expense Interest Expense \begin{tabular}{|l|l|l|l|} \hline \multicolumn{2}{|c|}{ Debit } & & \\ \hline & & & \\ \hline & & & \\ \hline & & & \\ \hline Ending Balance & & & \\ \hline & & &...