Solution:
Method I:
Let the required matrix be
Then,
In the same way
The required matrix is
Method II:
........................................................................................................................................................................................
Method I:
Let the required matrix be
Then ,
The required matrix is
Method II:
2. (6 pts) Fill in the missing entries of the matrix, assuming that the equation holds...
Complete the table
3. Fill in the missing entries in the following table (5 pts): AVERAGE FIXED COST AVERAGE VARIABLE COST MARGINAL COST OUTPUT AVERAGE TOTAL COST 160 95
Find the missing values in the given matrix equation 「-7 511 =| e-2-4 f -3 1 3 c d 0-2 7 b JL2 1 2 (a,b,c,d,e,f)=
11. (6 pts) Fill in and label the missing energy levels and label each HOMO and LUMO; clearly designate which orbitals give rise to the max energy gap. : OCH.CH. CH, CHCH-CH O 2 3 4 5 6 CH, CHCH-CHCH-CH S'lhol 21 Lumo Homo Homo
solve it clear please ?????
6 0 0 1 Q2. Consider the matrix A = 2 -5 -6 -50 (a) Find all eigenvalues of the matrix A. (7 pts) (b) Find all eigenvectors of the matrix A. (8 pts) (c) Do you think that the set of the eigenvectors of A is a basis for the vector space R$? (Justify your answer) (5 pts) Q5. Consider the square matrix A = (a) Show that the characteristic polynomial of A is:...
I don't need the measured values
1) Given the circuit in Figure 2 below, fill in Table 2 and 3 with the missing information. See the following Procedure B. N2 ETH V R2 VR4 Ref Node Figure 2 PS The blue power supply R1 120 ohms R2 220 ohms R3 330 ohms R330 ohms RL1000 ohm variable potentiometer Page 3
Use the table below to fill in the missing values. 0 1 2 3 4 5 6 7 8 9 9 5 3 4 7 2 8 6 0 1 $(7) = 6 4 then I 3 then a Question Help: Message instructor > Next Question
answer a,b,c, and d! all questions please
10.(9 pts) Consider the following balanced equation: 2 N2H. + N204 → 3N2 + 4 H 0 Fill in the missing values in the statements below based on this balanced equation: a) 4 moles NzH4 + -moles N204 → __moles N2 + __moles H20 b) 6 molecules NzH. + molecules N204 → molecules N2 + _ molecules H20 c) 64.0 grams NzH4 + -_grams N20. -_grams N2 + --_grams H2O
6. For the following matrix, (6 pts each) 1 2 0 2 57 A = -2 -5 1-1 10 0 -3 3 4 0 a. Determine the basis for the row space of A. b. Determine the basis for the column space of A.
4.(5 pts)Give an example of a 3 x 3 matrix with eigenvalues of 2, 2, and -3 that is diagonalizable. Show that it is, in fact, diagonalizable, and find C and D such that C (you may make this as trivial as you wish!) AC = D 5.(5 pts) Give an example of a 3 x 3 matrix with eigenvalues of 2, 2, and -3 that is NOT diagonalizable. Show WHY it is not diagonalizable. 6. (5 pts) Let T:...
) Let A be the following matrix: 13 0 2 0 2 2 0 0 6 (a) Enter its characteristic equation below. Note you must use p as the parameter instead of , and you must enter your answer as a equation, with the equals sign. (b) Enter the eigenvalues of the matrix, including any repetition. For example 16,16,24. 5 (c) Find the eigenvectors, and then use Gram-Schmidt to find an orthonormal basis for each eigenvalue's eigenspace. Build an orthogonal...