Question: We can apply a 2 x 2 matrix to a 2 x 1 column vector to get another 2 x 1 column vector. If the

We can apply a 2 x 2 matrix to a 2 x 1 column vector to get another 2 x 1 column vector. If the column vectors represent position vectors of points in the (x,y) plane then a matrix can be used to transform the point to a new position. So in this example our matrix moves (2,3) to (2,-3). Try some more points as column vectors. What is the effect of this matrix

Step by Step Solution

There are 3 Steps involved in it

1 Expert Approved Answer

Step: 1 Unlock 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 Mathematics Questions!

From project1 (0.8 0.3 0.2 0.7) Example Let us first shift the initial you have created by 0.8 units horizontally and by 0.3 units vertically. This means that we need to add 0.8 to the a-coordinate...

1. Describe the possible echelon forms of a nonzero 2 x 2 matrix. (3 Select all that apply. (Note that leading entries marked with a I may have any nonzero value and starred entries ( * ) may have...

Computational Finance - HW 1 Complete the following problems in your home work groups. All calculations must be done in MATLAB. When the question tells you to report or output an answer, your code...

Answer the question shown below. Notes for reference shown below. \fThe function displays the promptstring, waits for keyboard input, and then returns the value from the keyboard. For example, >>...

Python code for part d Use stem import copy as CP def FirstNonZero_Index(R): #finds pivot for a row vector (R) m=-1 for n in range(len(R)): if R[n] != 0.0: m=n break return m #if the whole row is...

Help with #7 please in MATLAB Run your function to give result for each problem. 1. (12%) Calculate value of x 2. (13%) Create a vector v with 50 equally space element in which the first element is...

For what value of k will the lines x1 2 + 2 andxz - 1 + 42 1 intersect ? k = The line x1 intersects the plane 2x - 2y + 1z = 8 at the point with position vector (Note: You may get something like ]:x...

Paoatnn 1 Consider the bridge truss diagrannued below: Given a vector of edema] forces [what we call the \"data\" or the \"right hand side"] b on the bridge. we can compute the forces F1. F2. . .. ....

Math 21 Winter 2017 Professor Bruce Cooperstein Final Review/Practice Examination You will need to know the definitions of the following in order to do the questions on the examination. You will not...

Here are some more information Write a simple function Gauss_Elimination () using matlab to implement the nave Gauss elimination for solving AX = b, where A is an N * N matrix, X is an N * 1 column...

If Assets = 200, Revenues = 15, Liabilities = 50, and Expenses = 10, what is the value of Net Income?

The figure below depicts a 1-in diameter solid circular shaft supported by self-aligning bearings (simple supports) at A and B. Attached to the shaft are two chain sprockets loaded as shown. Treat...

The company's stock is selling fr $ 3 2 per share.

On 1 March 2007 DB Limited issued R560 000 15% debentures at R98. The debentures were to be redeemed at par in four equal annual payments starting 28 February 2010. Required: Journalise the above...