Show that if u, v Rn, then det (I + uvt) = 1 + vtu.
Question:
Fantastic news! We've Found the answer you've been seeking!
Step by Step Answer:
Answer rating: 50% (10 reviews)
Let be an eigenvalue of M I uvt with eigenvector x 0 Then x Mx I uvx x vx u Thus 21x vx u ...View the full answer
Answered By
Raja Sah
I have 6 month+ Teaching Experience
0.00
0 Reviews
10+ Question Solved
Related Book For
Question Posted:
Students also viewed these Numerical Analysis questions
-
Show that if u + v and u - v are orthogonal, then the vectors u and v must have the same length.
-
(a) Show that if u Rn is a unit vector, then the n n matrix Q = 1 - 2uuT is an orthogonal matrix, known as an elementary reflection or Householder matrix. (b) Write down the elementary reflection...
-
Show that if u and v are linearly independent vectors, then so are u + v and u - v.
-
Types of audit procedures Audit procedures are used to gatherevidence to support the auditors conclusions on the fairpresentation of a companys financial statements. Procedures can beperformed...
-
Your folks just called and would like some advice from you. An insurance agent just called them and offered them the opportunity to purchase an annuity for $21,074.25 that will pay them $3,000 per...
-
Biotech companies are among those that have challenges recruiting employees with technology skills that are in high demand. Their smart talent management and total rewards program have prevented...
-
The data in Table 19.8 are from Gamage et al. (2007). These data are for 36 months of medical-care payments, from January 2001 through December 2003, inclusive. These are payments for medical-care...
-
Suppose that we modify the Solow growth model by allowing long-run technological progress. That is, suppose that z = 1 for convenience, and that there is labor-augmenting technological progress, with...
-
What accounts are affected, and in which direction, by the following business activity? Use account names from the expanded accounting equation. Purchase supplies for $ 2 0 0 cash. Question 2 5...
-
Who do you think is correct, Mark (the unload capacity should be twice as high) or Doug (the two lifts have the same capacity)? Can you give a response to Jessicais there any other difference between...
-
Show that if 0 y Rn and z Rn, then z = z1 + z2, where z1 = (ytz/ ||y||22)y is parallel to y and z2 is orthogonal to y.
-
Use the method of Steepest Descent with TOL = 0.05 to approximate the solutions of the following nonlinear systems. a. b. ln(x21 + x22) sin(x1 x2) = ln 2 + ln , ex1x2 + cos (x1 x2) = 0. c. 3x21 ...
-
Which transaction below increases an asset and the owners equity? a. A purchase of equipment on credit b. A purchase of equipment with cash c. Payment of rent with cash d. A sale of merchandise on...
-
ACSR stands for (a) Aluminum-clad steel conductor (b) Aluminum conductor steel supported (c) Aluminum conductor steel reinforced
-
Explain the family dynamics that may influence the creation or acquisition of additional businesses.
-
In this suit arising from the sale of land, we examine the appropriate measure of damages for a sale obtained through fraudulent inducement. A jury concluded that the seller of the land had failed to...
-
In a three-phase line, in order to avoid unequal phase inductances due to unbalanced flux linkages, what technique is used?
-
How feasible is breaking out into majority markets for ethnic minority firms?
-
The 2x2 matrix representing a rotation of the xy plane is Show that (except for certain special angleswhat are they?) this matrix has no real eigenvalues. (This reflects the geometrical fact that no...
-
From the choice of simple moving average, exponential smoothing, and linear regression analysis, which forecasting technique would you consider the most accurate? Why? please write it in word...
-
Let f(x) = 1 x2/3. Show that f( 1) = f(1) but there is no number c in (1, 1) such that f(c) = 0. Why does this not contradict Roles Theorem?
-
Let f(x) = (x 1)2. Show that f (0) = f (2) but there is no number in (0, 2) such that f(c) = 0. Why does this not contradict Roles Theorem?
-
Use the graph of f to estimate the values of that satisfy the conclusion of the Mean Value Theorem for the interval [0, 8]. yf(x)
-
EnviroSpecialists is an environmental engineering company that provides assessments of the effect of new construction and proposed development on the surrounding landscape. Customers include large...
-
Discuss the impact of cross-cultural allusions in global literature, particularly in terms of fostering understanding and dialogue between diverse communities
-
The correct entry should be Debit: Armstrong, Capital $48,000 Credit: Cash $58,000 Debit: Jackson, Capital $5,000 Debit: Tanner, Capital $5,000
Study smarter with the SolutionInn App