The column space of each matrix A and B below determines a plane in R. We...
Fantastic news! We've Found the answer you've been seeking!
Question:
Transcribed Image Text:
The column space of each matrix A and B below determines a plane in R³. We will find a non-zero vector in the intersection of the two planes, i.e., a vector v in C(A) nC(B). 1 2 13 B 6 3 5 1 2 We want to find v so that v = Ax and v= By for some x and y. 7/1 (a) Let x = and y 2 Y2 a 3 x 4 matrix system with variables 71, 72, 7/1, and 1/2. Rewrite the equation Ax = By as (b) Find the complete solution to the system in part (a). Note that this should be the null space of the combined matrix [A |-B]. (c) Take a non-zero solution to the system from part (b) and split it into an x-part and a y-part. This should give you vectors x and y with Ax = By. D (d) Find a non-zero vector v in C(A) nC(B). The column space of each matrix A and B below determines a plane in R³. We will find a non-zero vector in the intersection of the two planes, i.e., a vector v in C(A) nC(B). 1 2 13 B 6 3 5 1 2 We want to find v so that v = Ax and v= By for some x and y. 7/1 (a) Let x = and y 2 Y2 a 3 x 4 matrix system with variables 71, 72, 7/1, and 1/2. Rewrite the equation Ax = By as (b) Find the complete solution to the system in part (a). Note that this should be the null space of the combined matrix [A |-B]. (c) Take a non-zero solution to the system from part (b) and split it into an x-part and a y-part. This should give you vectors x and y with Ax = By. D (d) Find a non-zero vector v in C(A) nC(B).
Expert Answer:
Related Book For
Posted Date:
Students also viewed these mathematics questions
-
The following additional information is available for the Dr. Ivan and Irene Incisor family from Chapters 1-5. Ivan's grandfather died and left a portfolio of municipal bonds. In 2012, they pay Ivan...
-
The following additional information is available for the Dr. Ivan and Irene Incisor family from Chapters 1-6. On December 12, Irene purchased the building where her store is located. She paid...
-
Let A be a 6 4 matrix of rank 4. (a) What is the dimension of N(A)? What is the dimension of the column space of A? (b) Do the column vectors of A span R6 Are the column vectors of A linearly...
-
Part A Light has both a wave and a particle nature. Particles have a wave nature as well, and therefore All particles decay with a certain characteristic lifetime. Their position can not be specified...
-
Set up Problem 6-18 on a spreadsheet to make all the input data variable and determine various scenarios which would make the bailer economical.
-
Factor the polynomial. 25s 4 - 9t 2
-
What is depreciation?
-
The following data were extracted from the accounting records of Wedgeforth Company for the year ended November 30, 2010: Merchandise inventory, December 1, 2009 $ 210,000 Merchandise inventory,...
-
LO 5 4 3 2 1 X -6 -5 4-3 -2 -1 0 1 2 3 4 5 6 -11 -2 -3 -5 4. Find average rate of change over the interval [-6,-2]. 5. Find average rate of change over the interval [-2,0]. 6. Find average rate of...
-
Extend Example 20.3 to calculate CVA when default can happen in the middle of each month. Assume that the default probability during the first year is 0.001667 per month and the default probability...
-
Marks and Spencer Foodhall is going through a major store remodelling that aims to re-imagine a store that will be fit for purpose and fit for the future. As an advisor to the Sainsbury's board of...
-
Suppose one estimates a linear regression with changes in the 5-year TIPS price as the dependent variable and changes in the 5-year nominal Treasury yield as the independent variable. The estimated...
-
Give some examples of a credit event.
-
Imagine that you are in charge of health policy in your country. A mutation of the swine flu virus leads to a rapid increase in the number of people contracting the virus, with the expectation that...
-
For a given series RLC circuit, draw the variation of phase angle with frequency.
-
For the daily yield volatility computed in Question 5, what is the annual yield volatility assuming the following number of trading days in the year: 250, 260 and 365.
-
52. DuPont Analysis Last year Cafe Creations, Inc. had an ROA of 25%, a profit margin of 12%, and sales of $4 million. What is Cafe Creations's total assets? A. $0.12 m B. $0.48 m C. $1.00 m D....
-
The following cost information was provided to you for analysis: September 12,000 Units Produced Costs: TIC TAC TOE TING August 10,000 P80,000 70.000 60.000 50,000 How much is the fixed cost per...
-
Determine whether T is a linear transformation. T : P 2 P 2 defined by T(a + bx + cx 2 ) = (a + 1) = a + b(x + 1) + b(x + 1) 2
-
Find bases for the kernel and range of the linear transformations T in the indicated exercises. In each case, state the nullity and rank of T and verify the Rank Theorem. Exercise 3 Data From...
-
Test the sets of matrices for linear independence in M 22 . For those that are linearly dependent, express one of the matrices as a linear combination of the others. -1 -1
-
____________ is the ability to control anothers behavior because of the possession of knowledge, experience, or judgment that the other person does not have but needs. (a) Coercive power (b) Expert...
-
The pattern of authority, influence, and acceptable managerial behavior established at the top of the organization is called ______________. (a) organizational governance (b) agency linkage (c) power...
-
The process by which managers help others to acquire and use the power needed to make decisions affecting themselves and their work is called ______________. (a) politics (b) managerial philosophy...
Study smarter with the SolutionInn App