Question

For solving systems, you will be given a simple 2x2 matrix and the following: Find (...

  1. For solving systems, you will be given a simple 2x2 matrix and the following:
    Find ( A -λ I)K = 0; Find K1 and K2
    Final Equation: X = C1_________________ + C2___________________________
Math   Advanced-Math   
0 0
Add a commentTranscribed image text
Next >

Homework Answers

Answer #1

and    are solution of the system   then ,

, .

So the final equation is    because ,

So   is a solution of .

Hence Final equation :   .

.

N.B: To find and    explictly you need to provide the matrix A .

0 0
Know the answer?
Your Answer:

Post as a guest

Your Name:

What's your source?

Earn Coins

Coins can be redeemed for fabulous gifts.

Log In

Sign Up

Not the answer you're looking for?
Ask your own homework help question
Similar Questions
Find general solutions of the following systems using variation of parameters. X ′ =(2x2 matrix) (...
Find general solutions of the following systems using variation of parameters. X ′ =(2x2 matrix) ( 2 2; 3 1 ) X + (column matrix) ( e^−4t; 0 )
Find a particular solution to the following nonhomogeneous linear systems" X' = [ 3 -3 ]...
Find a particular solution to the following nonhomogeneous linear systems" X' = [ 3 -3 ] X + [4] [ 2 -2 ]    [-1] First is a 2x2 matrix and second is a 1x2 matrix.
1. Find the orthogonal projection of the matrix [[3,2][4,5]] onto the space of diagonal 2x2 matrices...
1. Find the orthogonal projection of the matrix [[3,2][4,5]] onto the space of diagonal 2x2 matrices of the form lambda?I.   [[4.5,0][0,4.5]]  [[5.5,0][0,5.5]]  [[4,0][0,4]]  [[3.5,0][0,3.5]]  [[5,0][0,5]]  [[1.5,0][0,1.5]] 2. Find the orthogonal projection of the matrix [[2,1][2,6]] onto the space of symmetric 2x2 matrices of trace 0.   [[-1,3][3,1]]  [[1.5,1][1,-1.5]]  [[0,4][4,0]]  [[3,3.5][3.5,-3]]  [[0,1.5][1.5,0]]  [[-2,1.5][1.5,2]]  [[0.5,4.5][4.5,-0.5]]  [[-1,6][6,1]]  [[0,3.5][3.5,0]]  [[-1.5,3.5][3.5,1.5]] 3. Find the orthogonal projection of the matrix [[1,5][1,2]] onto the space of anti-symmetric 2x2 matrices.   [[0,-1] [1,0]]  [[0,2] [-2,0]]  [[0,-1.5] [1.5,0]]  [[0,2.5] [-2.5,0]]  [[0,0] [0,0]]  [[0,-0.5] [0.5,0]]  [[0,1] [-1,0]] [[0,1.5] [-1.5,0]]  [[0,-2.5] [2.5,0]]  [[0,0.5] [-0.5,0]] 4. Let p be the orthogonal projection of u=[40,-9,91]T onto the...
Given the following vector X, find a non-zero square matrix A such that AX=0: You can...
Given the following vector X, find a non-zero square matrix A such that AX=0: You can resize a matrix (when appropriate) by clicking and dragging the bottom-right corner of the matrix. x = [-1] [10] [-4] This is a 3x1 matrix.
Solving Systems of Linear Equations Using Linear Transformations In problems 2 and 5 find a basis...
Solving Systems of Linear Equations Using Linear Transformations In problems 2 and 5 find a basis for the solution set of the homogeneous linear systems. 2. ?1 + ?2 + ?3 = 0 ?1 − ?2 − ?3 = 0 5. ?1 + 2?2 − 2?3 + ?4 = 0 ?1 − 2?2 + 2?3 + ?4 = 0. So I'm in a Linear Algebra class at the moment, and the professor wants us to work through our homework using...
Which one of the following is the solution to the differential equation of a 2x1 matrix...
Which one of the following is the solution to the differential equation of a 2x1 matrix [x'(t) y'(t)]=the 2x2 matrix [2 3; 3 2][x(t) y(t)] with initial condition of a 2x1 matrix [x(0) y(0)]=the 2x1 matrix [2 4]?
Solving Systems via the Eigenvalue Method: Find the general solution to the following system of differential...
Solving Systems via the Eigenvalue Method: Find the general solution to the following system of differential equations. x'1 = 3x1 + 4x2 x'2 = 2x1 + x2
Find the fundamental matrix solution for the system x′ = Ax where matrix A is given....
Find the fundamental matrix solution for the system x′ = Ax where matrix A is given. If an initial condition is provided, find the solution of the initial value problem using the principal matrix. A= [ 4 -13 ; 2 -6 ]. , x(o) = [ 2 ; 0 ]
Given f(x) = 2x2 + 1 and g(x) = 6x − 9, find the following. (a)...
Given f(x) = 2x2 + 1 and g(x) = 6x − 9, find the following. (a) f(g(2)) (b) f(g(x)) (c) g(f(x)) (d) (g ∘ g)(x) (e) (f ∘ f)(−2)
Find the standard matrix for the following transformation T : R 4 → R 3 :...
Find the standard matrix for the following transformation T : R 4 → R 3 : T(x1, x2, x3, x4) = (x1 − x2 + x3 − 3x4, x1 − x2 + 2x3 + 4x4, 2x1 − 2x2 + x3 + 5x4) (a) Compute T(~e1), T(~e2), T(~e3), and T(~e4). (b) Find an equation in vector form for the set of vectors ~x ∈ R 4 such that T(~x) = (−1, −4, 1). (c) What is the range of T?
ADVERTISEMENT
Need Online Homework Help?

Get Answers For Free
Most questions answered within 1 hours.

Ask a Question
ADVERTISEMENT