5) Find Consider the state 21/2e¹2²mx/a). z=0 QFT₂QFT₂). Solving this problem will give you some practice with the algebra of qubits and operators.

Q: Evaluate the determinant of the matrix. -5 4 -5 -1 3 -1 a) -40 b) 50 C) -50 d) -30 e) 30 Leave blank

A: here option d is true

Q: value of ∑n=1∞(6an+9bn) if ∑n=1∞an=8 and ∑n=1∞bn=2.

A:

Q: Simplify √9-√6 −8+ √6 by rationalizing the denominator.

A: leer R=9-6-8+6multiply top and bottom by -8-6R=9-6-8+6×-8-6-8-6

Q: Expand and simplify to express each equation in standard form. [2, 2, 2, 3, 3, 2] a) y = (x +5)(x +…

A: Disclaimer: Since you have posted a question with multiple sub-parts, we will solve first three…

Q: Find u − v, 2(u + 3v), and 2v − u. u =  (6, −7, 8, 3),       v = (−2, , 7/3, −8/3 , −1)

A:

Q: How many permutations of (1, 2, 3, 4) are even and what are they? Extra credit: What are all the…

A: Permutation: The even permutation are (1,2,3,4) The permutation , (1,2,3,4) (1,4,2,3) (2,3,1,4)…

Q: By evaluating the determinants, verify the addition rule for the 2 x 2 case: a12 a22 la21 a22 la21…

A: Determinate

Q: (14x- 13) 4x + 13) (6x + 2)

A:

Q: 5- Solve the following determinants :- -1 -21 [2 3 1] 2 a) 4 5 31 L1 2 b)-1 2 1 3 -3] [1 d) 0 2 -2…

A: Since the student has posted many sub-parts of the question and does not mention any specific part,…

Q: Use Cramer's rule to solve the following set of equations, 2x1 + x2 =44 x1 + x2=72 3x1 + 5x3=69 2x2…

A:

Q: A−1 in the block form.

A:

Q: Suppose Zı= 4+4i , Z2= 5 +7i. Evaluate (a) 2 Z1– 4 Z2 Z2 (b) 3 Z1

A:

Q: Problem 5. Let X = [X1,..., Xn]' be a random vector where each component X; is a real-valued random…

A: Step 1: Let  X =[x1,x2,...xn]T be a random vector where each component xi is a real valued random…

Q: Suppose I + AB is invertible. Show that I + BA is also invertible by showing that (I + BA)¯ = I –…

A: Assume that I+AB is invertible.  Then, I+ABI+AB-1=I ⋯ 1. Use equation (1) and calculate…

Q: Assume that u v = 8, ||u|| = 6, and ||v|| Calculate the value of (3u + v) (u - 5v). (Give your…

A: u·v=8u=6, v=10

Q: Suppose ū=i- j, v = −2i + 4j+3k and w = -5i + 4j. Compute the following values: |u| + |v|=| |-6u|…

A: Since you have posted a multi subparts question according to guidelines I will solve first(1,2,3)…

Q: Calculate (5xy + 4e²) dS, where S is the triangle with vertices (0, 0, 3), (1, 0, 2), and (0, 4, 1).…

A: Given

Q: Write f= x + 10x1x2 + x3 as a difference of squares, and f= x? + 10x,x2 + 30x as a sum of squares.…

A: Given f=x12+10x1x2+x22.  Let the associated matrix of f be A=abba is 2×2 symmetric matrix. Then,…

Q: Find a and b if a + (5 – 3b) i = ai + 2 (b + 5)

A: See the attachment.

Q: possible

A: We shall equate the determinant of the given matrix A to 84 and find the value of x by solving the…

Q: Evaluate the determinant of the ナhc given mantrix using 91 92 93 result b2 bz = 5. C3

A: Given that:      a1a2a3b1b2b3c1c2c3=5

Q: Divide the quaternion on the right 5 + 4i− 6j  of the quaternion 3i+j-2k

A:

Q: 18) Find a + b, 2a + 3b, |a|,  and |a - b|.  a = 2i - 4j + 4k, b = 2j - k

A: The objective is to Find a + b, 2a + 3b, |a|, and |a - b|.

Q: expression wi SION

A:

Q: What is the difference between the minor of an element aij and the cofactor of the element?

A:

Q: Solve the System of euations using Cramer's Rule 3x + 34 - Z l 2x _y+ 22=9 | 4C 2=25 +34 +2Z

A: To solve the following equations using Cramer's law3x+3y-z=112x-y+2z=94x+3y+2z=25

Q: 4x 1. Зу': y? %3D

A:

Q: Find C11-C22, d11-d33, and the determinant of D. Thank you!

A:

Q: * Suppose the mbrxP. 4x4 peraubibun mabrx with even numberof permutahion, Find bhe maxinum…

A:

Q: Solve the followings: 1- if zl=2+3i, z2=-1+i and 23=3-2i, give an expression for zlz2 + (23).

A:

Q: Show that if M, - M. - (C ). (6 ). Ms - (: :). M2 = %3D %3D then the span of {M1, M2, M3} is the set…

A:

Q: 3) The complex conjugate of z is denoted as z. Solve for z in the equation: 27(1- j2) j 2- j3 5z 1+…

A:

Q: H = (123 11 1 2 4 6 ) ; J = (2 4 2 1 6 1 29 2) ; K = (1 2 3 0 1 1 2 5 0 ) %3D

A: The objective is to find the determinant for H=1 2 3 1 1 1 2 4 6, J=2 4 2 1 6 1 2 9 2 and K=1 2 3 0…

Q: Find JA-11. Begin by finding A-1, and then evaluate its determinant. Verify your result by finding…

A: