5 Under what condition on b,b2, bs is this system solvable? Include b as a fourth column in elimi...
2. Consider the system 2n+4x2 + 8x3 + 12n = b2 (a) Reduce A b to Row Reduced Echelon Form Rx-c (b) Find the condition on bi, b2, bs for Ax b to have a solution (c) Find the nullspace of A as the span of special solutions (d) Find a particular solution when b- 3 6 9 and the general solution.
4 Given Ax = b 2 4 6 4 bi 4 A=12576 23 5 2 b3 1. Reduce [A b]to [U cl,so that Aa b becomes a triangular system Ux-c. 2. Find the condition on b1, b2, bs for Aabto have a solution. 3. Describe the column space of A. Which plane in R3? 4. Describe the nullspace of A. Which special solutions in R4? 5. Reduce [U c]to[R d]: Special solutions from R, particular solution from d. 6. Find...
2. Answer the following questions: a. What is the interest parity condition? Include the appropriate equation and explain. b. Is “arbitrage” possible when the interest rate parity condition holds? Define “arbitrage” and explain. c. What do we mean by “exchange rate overshooting”? Why does it happen?
what is all solutions of X3 of the system
( b) [5 marks] Let X= 2 and Let X2 = 5 be two solutions of the linear 3 system AX = B. Find all solutions X3 of this system, such that X3 # Xand X3 # X2 l]
1. Using picture or pictures, explain (5) (a) h and under what condition Ax Ap h/2. Ax Ap The meaning of each symbol in the two expressions <mÔjk>, <kIOk> and meanings of the expressions. Using <m |Ö)k>, comment on how O operates and the condition of a Hermitian operator. (8) (b) (5) The scattering and the bound state problems. (c) Why can the solutions a free particle in two-dimension be written as (1/2n) e[i(kx+ kyy)], where ky and ky are...
7. (20 points) Let 0-1 5 3 A -2 34 2 -3-5 (a) ( 15 points) Solve the linear system Ax = b by Gaussian elimination and express the general solution in vector form. (b) (5 points) Write down the corresponding homogenous system Ax-0 explicitly and determine all non-trivial solutions from (a) without resolving the system
7. (20 points) Let 0-1 5 3 A -2 34 2 -3-5 (a) ( 15 points) Solve the linear system Ax = b by...
5. Find the parametric form of the solutions of the system 2a +3b+c-1 a+b+c3 Ba+4b+2c
Please help me for all problems 1, 2, 3, 4, 5
1. (Three points.) Convert this system to upper triangular form and solve by back-substitution. 4x+7y + 5z 13 -2y + 2z-6 2. (Three points.) Convert this system to upper triangular form and solve by back-substitution. 4x-5y +z=-13 2x -y-3z5 3. (Four points.) Find the value a that will make the matrix of coefficients for this system singular and the value b that will give the system infinitely many solutions...
(**) In #5-#6, find all solutions of under determined linear system by using the row operations: (2. 0:01 (0.21 -4.02 +2.13 +24 +02 -13 +2.04 +0.02 +0x3 +344 = 11 = 5 = 9 2 0.0 ( 0.1 +2.02 +02 0.02 -13 -4.03 0.13 +0.04 +3.25 +0.04 +45 + +2:05 = 7 = -1 = 1
x'-y,y 10x-7y using the method of elimination. 2) a) Find the general solution to b) What happens to all solutions as ? You should find that all solutions approach the same point (x, y). This is an example of a fixed point. c) Find the particular solution to the IVP consisting of the above system of equations and the conditions x(0)2, y(0)-7