Show that the matrix V
is a dispersion matrix. Calculate V1/2,
V−1/2 and V10 .
It is satisfied for all values of x1, x2, x3 belong to R.
I don't know what is meant by V1/2, V-1/2, and V10.
Show that the matrix V is a dispersion matrix. Calculate V1/2, V−1/2 and V10 . 014...
2.ท. V. 2 R V10 cos (10ot) v] Vi V10 cos (50 t) Ev] FiND )
V. 8? 20 A 2? 10 V 1) Calculate l1 when the 20 A current source is deactivated. Answer in the form Check Show answer 2) Calculate V when the 20 A current source is deactivated. Answer in the form: # Check Show answer 3) Calculate l1 when the 10 V voltage source is deactivated Answer in the form: ## A. Check Show answer 4) Calculate V1 when the 10 V voltage source is deactivated Answer in the form: ##...
Question 1 (10 points) Projection matrix and Normal equation: Consider the vectors v1 = (1, 2, 1), V2 = (2,4, 2), V3 = (0,1,0), and v4 = (3, 7,3). (a) (2 points) Obtain a basis for R3 that includes as many of these vectors as possible. (b) (4 points) Obtain the orthogonal projection matrices onto the plane V = span{v1, v3} and its perpendicular complement V+. (c) (2 points) Use this result to decompose the vector b= (-1,1,1) into a...
Find a 3 × 3 matrix A with eigenvectors v1
= 1 2 3 with λ = 1, v2 = 0 −1 1 with λ = 2 and v3 =
1 1 1 with λ = 10. (Hint: A must be diagonalizable, A = P
DP −1 . Figure out P and D, then compute A directly.)
(6) Find a 3 x 3 matrix A with eigenvectors V1...
1: 1 131 2 Given matrix A 2 2 2. matrix P and I S set 2. a) Show that matrix P diaqonalizes A and find D(diagonal matnx) that matches. 6) Find the eigen values of A Observe that the columns of P form set S c) orthogonal Set using the inner product standard show that set S is not an Use the Gram- Schmidt process to get an orthonormal set from S using inner product standard
1: 1 131...
V1 = 8 (V) R1 = 8 (2) V2 = 26 (V) 두 - Problem 1 Using Kirchhoff's rules in the circuit of image, A- Calculate the current in the circuit. B- Show the direction current in the circuit. C. Calculate the voltage across resistor R1 D- Calculate the power delivered to R2 E- After 15 minutes of working of circuit, how much energy is delivered to resistor Rı? |VA = 28 (V) Va = 20 (V) R2 = 7...
1. calculate node voltage V1 and V2
2. calculate the voltage drop across 10k resistor equal to the
difference between V2 and Vs2
3. Calculate mesh current i1,i2, i3
4. calculate the current through 2.7k resistor
5. does the current measured through 2.7k resistor equal to the
difference between the currents i2 and i3? show all
calculations
equired Itheory a Construct the circuit shown in Fig. 2 on your breadboard. 1 k 2 w V, 1k22 V, 10 k92 VS2...
V1 = 8 (V) R1 = 8 (2) V2 = 26 (V) HI Problem 1 Using Kirchhoff's rules in the circuit of image, A- Calculate the current in the circuit. B- Show the direction current in the circuit. C- Calculate the voltage across resistor R1 D- Calculate the power delivered to R2 E- After 15 minutes of working of circuit, how much energy is delivered to resistor Rı? V4 = 28 (V) V3 = 20 (V) R2 = 7 (12)
P4. Prove: If V = {V1, V2, ...,V) is a linearly indepen- dent set of vectors in R", and if W = {Wx+1, ...,wn} is a basis for the null space of the matrix A that has the vectors V1, V2, ..., Vk as its successive rows, then VUW = {V1, V2, ..., Vk, Wk+1,...,w.} is a basis for R". [Hint: Since V UW contains n vectors, it suffices to show that VUW is linearly independent. As a first step,...
Problem 3, Let X ~ Mn(Dß, σ2V) for sonne known positive definite dispersion matrix V, some known n x m matrix D of full rank m, some unknown vector BE Rm and some unknown positive number σ. Find a sufficient statistic.