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3-5a 8. Let A 2 0 1.I It is given that 0 is an eigenvector for 2 -3 7 (a) What is the corresponding eigenvalue? (b) What is the value of a?
2) Identify the heterogeneous mixture: 8 8 88 0 0 0 o o 00 00 I loooo @ 18 (d) (c) (e) (9)
1 00 0 1 0 00 -2 3 0 0 0 1 I = 0 0 0 0 6. (10%) Let matrices A and 0 -4 5 0 1 0 -6 7 0 0 0 1 B=(I+A) (I-A) , please calculate the matrix (I+ B) - o0
1 00 0 1 0 00 -2 3 0 0 0 1 I = 0 0 0 0 6. (10%) Let matrices A and 0 -4 5 0 1 0 -6 7 0...
In the vector space R, let 8 {(1,3,0), (1, -3, 0), (0, 2, 2)}. (a) (6 points) Show that y is a basis of R3. (b) (7 points) Find the matrix [I,where I is the identity transform R3 R3 (c) (7 points) Using the matrix [I, convert the vector (r, y, z) into coordinates with respect to y instead of B. In other words, find ((x, y, z)] {(1,0,0), (0, 1,0), (0,0, 1)} be the standard basis, and let
Problem # 1: Consider the circuit of Fig. 1: a) If vc(0) 8 V and i,(t) 40 S(t) mA, find Vc(s) and vc(t) fort>0 b) If ve(0) 1 V and ) 0.2 e u(t) A, find Vc(s) and v(t) fort>0 Problem #2: The circuit in Fig. 2 is at steady-state before t-0. a) Find V(s) and v(t) for t>0 b) Find I(s) and i(t) for t>0 5 S2 10 - 10u(t) V 6 H v(t) i(t). 130 F Figure 1...
1 -3 2 -8 1 -1 2 -2/ 0 -7 and B = 0 0 -3 7 3 -2 0 4 -2 [2 4 3 31 1 1 1 - 2 You are given the matrices, A= 3 2 0 1 possible, calculate the determinant of A + B. O-18 O 30 oo 06 0-5 O Cannot be determined from the given information
[2 1 0 0 0 01 0 2 1 0 0 0 I. Compute A4 if A= 0 0 0 0 5 1 0 0 0 0 0 5
2. Consider the following initial value problem i-6 8 2e-3t. (0)0, (0) = 0. = (a) Using Laplace transforms find the Green's function g(t) of the initial value problem (b) Hence write down the solution to the initial value problem as a convolution integral Do not evaluate the convolution integral
2. Consider the following initial value problem i-6 8 2e-3t. (0)0, (0) = 0. = (a) Using Laplace transforms find the Green's function g(t) of the initial value problem (b)...
Question 9 0/1 pt 2 Detai 8 -8 - -2 -2 -5 a The curve above is the graph of a sinusoidal function. It goes through the points (-4, 4) and (2, 4). Find a sinusoidal function that matches the given graph. If needed, you can enter i =3.1416... as 'pi' in your answer, otherwise use at least 3 decimal digits. f(3) =
i=2 j=0 while(i!=len(data)): if(data[i][0][0]>="A" and data[i][0][0]<="E" and data[i][1]=="Mammal"): print(data[i][0]) i=i+1 Could you explain what the first 2 lines of code mean in this program? As well as the while loop regarding the "data[i][0][0]" and "data[i][0]" in the fourth line?