Diagonalize the following matrix. The real eigenvalues are given to the right of the matrix. - 4 12 - 11 6 ;1= 1,3,5 12 - 16 11 Select the correct choice below and, if necessary, fill in the answer box to complete your choice.

Q: Find (u - 2v) · (2u – v), given that u · u = 5, u. v = 6, and v · v = 9. %3D

A:

Q: 3 A 14 Find (a) My and C- (b) M, and Cy- (c) M and C.- (d) Ma and Cy-

A: Given: A=4-11600-33410144132

Q: Find (if it exists) the inverse of B where B = |0 1 1 1 1 1 1 0001 0 0 1 1

A:

Q: Find a11 of A-1 Find a12 of A-1

A:

Q: [-3 -2 Let A= 0 -6 and b = 14 3 2 6 Determine whether b is in the column space of A.

A: If b is in column space of A then Rank (A:b)=Rank(A).

Q: I, \B|, A + B, and |A + B|. Then verify -1 1 8. 1 0 1 A = 0 1 1 B = -1 1 8 1 1 -1 0 1 8

A: Given: A=-11801111-1, B=101-118018

Q: 3x2+2x x2-6x Determine the non-permissible value(s) for Ox + 0, x # % Ox + 0, x + 6 Ox + 6 Ox + 0, x…

A: The function is given by 3x2+2xx2-6x To evaluate : The non-permissible values of x

Q: Let 2 -1 1 -4 4 A = 1 2 1 3 2 Find M22 and C22. 6

A: Given matrix is: A=2-11600-4421052132

Q: 0 -2 -1 1 A =| 2 and C = -1 -1 1 1 1. A - C 1.

A:

Q: 3xy If z determine 2x - 3y

A:

Q: 4 x₁ +5x₂ +3 x3 = -27 2x₁ + 6x₂+2x3 = -15 2x₁ - x₂ + x3 = 12

A: The given system of linear equations, 4x1+5x2+3x3=-272x1+6x2+2x3=-152x1-x2+x3=12 We have to find…

Q: Find the two conditions on b1, b2, and bz which determine solvability of 4 8. 3 4 =6= b2 -6 -7 -8 b3

A: The objective is to form the equation involving b1, b2, and b3 that determine the solvability of the…

Q: Find the inverse of T = 3 1 -1 - 1 2 2 2 2 1

A: Given matrix is,

Q: (0,0) (2,4)

A: In the given graph we have two points on line. which are (-4,2) ,(0,4)

Q: Find a21 of A-1 Find a22 of A-1

A:

Q: hat is the equation of the line that passes through A(7,3) and B(2,0)?

A:

Q: True or False. If A = {0,1,2,3}, then A C A

A: Given, A={0,1,2,3}, then A⊆A

Q: Find the rank(A) and null(A). 1 -3 -1 9 . -6 -1 4 -2 -10 -3 9. -6 -6 -3 3 -9 4 9 a) 1; 4 b) 2; 3 c)…

A: Rank(A) and Nullity (A)

Q: - 4x, + 2x, = -6 3x, - 5x, = 1 %3D

A:

Q: dw V5-e-2w

A: Given,           ∫dw5-e-2w

Q: (7x + 2) + (3x - 1) (3x + 7) + (2x - 5) (6x2 + 10) + (-4x² - 5) (6x+ 3) + (-6x - 3) (3x + x - 1) +…

A:

Q: (3+5i)- (2-1)- 1+6i o 1-6i 6+i 2-4i C

A: When two complex number are added, the real parts are added with each other and the imaginary parts…

Q: -5 4 0 1 0 * 0 * 0 1 0. 0. . 1 0. 8. 0. 2 0.

A:

Q: 1 -1 A = -1 2 -1 0 -1 1

A: Answer is in next step

Q: FinD Z 1. to #a-z°

A: Givenz=-2

Q: Find |ATI, JA21, |AAT|, |2A|, and |A¬1. 5 -7 A = 4

A:

Q: What is the dimension of the space spanned by 7. 3 3 1 6. 6 4 8. 0. 12

A:

Q: homogenous DE 3udv-vdv-udu-vdu=0

A:

Q: 14. 2x 8. 2x, 3x + 6x 2x

A:

Q: Let A and B [1 27 show that A and B are not similar. 0 1

A: To check the similarity of the matrices, calculate the determinant of the matrices A=1001 and…

Equations and Inequations

Equations and inequalities describe the relationship between two mathematical expressions.

Linear Functions

A linear function can just be a constant, or it can be the constant multiplied with the variable like x or y. If the variables are of the form, x2, x1/2 or y2 it is not linear. The exponent over the variables should always be 1.