Prove that a linear system Ax = b is consistent if and only if the rank of
Question:
Fantastic news! We've Found the answer you've been seeking!
Step by Step Answer:
Answer rating: 41% (12 reviews)
If the system Ax b is consistent then b is in the column space of A Therefore the colu...View the full answer
Answered By
Muhammad Umair
I have done job as Embedded System Engineer for just four months but after it i have decided to open my own lab and to work on projects that i can launch my own product in market. I work on different softwares like Proteus, Mikroc to program Embedded Systems. My basic work is on Embedded Systems. I have skills in Autocad, Proteus, C++, C programming and i love to share these skills to other to enhance my knowledge too.
3.50+
1+ Reviews
10+ Question Solved
Related Book For
Question Posted:
Students also viewed these Linear Algebra questions
-
Suppose that A is an m n matrix and b Cm. Prove that the linear system LS(A, b) is consistent if and only if r (A) = r ([A | b]).
-
Prove that a linear system has a solution if and only if that system's matrix of coefficients has the same rank as its augmented matrix.
-
In each part, use the information in the table to determine whether the linear system Ax = b is consistent. If so, state the number of parameters in its general solution. 3x3 3x3 3x3 5x9 5x9 4x4 6x2...
-
Think about the impact that e-commerce and more flexible networks of organisations has had on the way international business is conducted. How has it created new complexities in the relationships...
-
If the municipal bond rate is 4.25% and the corporate bond rate is 6.25%, what is the marginal tax rate, assuming investors are indifferent between the two bonds?
-
List and explain the most commonly offered objections to term insurance. How valid is each of these objections?
-
Refer to the following grid map that shows seven stores (labeled as demand locations D1 to D7) for a retail chain. The company is planning to locate a distribution center to distribute efficiently...
-
Why are there two stages of allocation in activity-based costing?
-
Company received proceeds of S204,000 on a bond issue with a par value of 5300,000. The difference between par value and ne price is recorded as Detto Premium on tons Payable Dette Discount on...
-
A northwestern distribution company surveyed 53 of its midlevel managers. The survey obtained the ages of these managers, which later were organized into the frequency distribution shown. Determine...
-
Let A be an m n matrix with rank equal to n. Show that if x 0 and y = Ax, then y 0.
-
Let A be an m n matrix. (a) If B is a nonsingular m in matrix, show that BA and A have the same nullspace and hence the same rank. (b) If C is a nonsingular n n matrix, show that AC and A have the...
-
Determine whether the following sequences converge or diverge, and state whether they are monotonic or whether they oscillate. Give the limit when the sequence converges. {(-0.7) n }
-
How do cognitive biases such as confirmation bias, anchoring, and the availability heuristic influence the quality of decision-making within complex organizational contexts ?
-
What role do cognitive biases, such as confirmation bias and anchoring, play in perpetuating conflict, and how can awareness of these biases facilitate more effective conflict resolution strategies?
-
Were you surprised by the results? Do you agree with the results? How can you use this knowledge of your personal biases to inform your management strategies? How can the identified biases impact...
-
what ways do existing power structures perpetuate social stratification, and what are the socio-political ramifications of these dynamics ?
-
How do feedback loops and reflective practices contribute to continuous improvement and the refinement of teamwork dynamics over time ? Explain
-
Define the terms exothermic and endothermic.
-
Dan and Diana file a joint return. Dan earned $31,000 during the year before losing his job. Diana received Social Security benefits of $5,000. a. Determine the taxable portion of the Social Security...
-
If it is known or if it is desired that the n points (x1, y1), (x2, y2), ... , (xn, yn)to be interpolated he on a single cycle of a periodic curve with period xn - x1, then an interpolating cubic...
-
Consider the transition matrix (a) Calculate x(n) for n = 1, 2, 3, 4, 5, if (b) State why P is regular and find its steady-state vector. 2 4
-
Find the steady-state vectors of the following regular transition matrices: (a) (b) (c) 1-3 2-3 81 26 19 .74 2 0 1-4 3-4 1-2 0-2 1-3 1-3 1-3
-
You borrowed $15,000 for buying a new car from a bank at an interest rate of 12% compounded monthly. This loan will be repaid in 48 equal monthly installments over four years. Immediately after the...
-
Discuss how debt restructuring, settlement, or modification works. Discuss the journal entries for debtor and creditor
-
Could CNL be a viable business? If so, under what conditions and what level of production (and, since production is directly related to production workers, employees)? All information provided for...
Study smarter with the SolutionInn App