Let 1 5 -1 1 1 0 0 0 1 A = 1 and P = 0 15 -2 1 05 Given that P diagonalizes A, then compute A** Al1 All

Q: a11 1 a31 all 0 a31 a12 a13 0 0 a32 a33 a12 a13 1 0 a32 a33 a11 a12 a13 0 0 1 a31 a32 a33 = = 4 a11…

A:

Q: 1. Let A= B = and C = 4 0 05-2 -6 5 -2 2 and 3 =. Compute the following (a) A+B (b) B' +C (e) C (d)…

A: Introduction: When we change the rows of a matrix into columns and columns into rows, as a result,…

Q: D. Leta - G 1234 5 6 13 24316 Compute the following: 4. yB 2 3 4 5 (2 3 5 4 6 8. ( D. ( 2 3 4 5 2…

A: Given the permutations,α=123456314562β=123456241365γ=123456524316

Q: ) (30 pts) Use induction to show the – 2" +1 _2"

A:

Q: 7) A building is 300 feet tall. It casts a 165 foot long shadow. A statue near the building is 40…

A: Given: A building is 300 feet tall. It casts a 165 foot long shadow. A statue near the building is…

Q: D. Let a = (1 2 34 5 145 6 1 2 34 5 2 4 13 6 (1 2 3 4 5 6 52 4316 Compute the following: 1. BY (1 2…

A: Matrix multiplication Rules : The product of two matrices A and B is defined if the number of…

Q: Compute for (1+u+ u²)(1+u).

A:

Q: Let a = (17 3)(5 94 2) and B = (2 3)(7 4)(5 1 8) be elements of S10. Then, a²B- is O (1 4)(27 539 8)…

A: Given permutations: α=(1 7 3)(5 9 4 2), β=(2 3)(7 4)(5 1 8). To find: α2β-1.

Q: 20 2 Compute det B* where B = 113 2 2 2

A:

Q: Let A= 0 11 then adj(A)= 0 0 1 Select one: a. 100 -1 1 0 0 -1 1 Ob. 100 110 111 C. 111 01 1 0 0 1 d.…

A: A system of m×n numbers arranged in the form of a rectangular array having m rows and n columns is…

Q: .

A:

Q: Let A= 1 0 1 0 0101 001 1 1100 What is the rank of A?

A:

Q: Use the factorization A = PDP to compute A^, where k represents an arbitrary integer. a 1 0 а о 1…

A: Given :  A = PDP-1  ;  where   A = a02(a-b)b ,  P = 1021,  D = a00b ,   P-1 = 10-21 To find : We…

Q: Let A = (1,2), B = (1,3,4) C (2,3, 4} and U = (1,2,3,4,5), then [Cn (B- A)] = O {3.4} O {1.2} O {3}…

A:

Q: OExpand -7(y – 12)

A: For expand we have to multiply 7 inside. So 7 will be multiply by y and 12.

Q: Show that det [1 1 0 0 1 1 0 0 1 0... 0 0 1 ⠀ ... 0000 1000... 00 00 11 0 1 = 1+ (-1)"+¹.

A: As per the question we are given a matrix determinant, whose all diagonal and super-diagonal…

Q: (a) Show that Sn can be generated by transpositions (1,2),(1,3),...,(1,n). (b) Show that Sn can be…

A: “Since you have posted a question with multiple sub-parts, we will provide the solution only to the…

Q: compute AB by block multiplication, using th e indicated partitioning

A:

Q: 1 1 1 Let A=| 0 1 1 then adj(A)= 0 0 1 Select one: а. 100 1 1 0 1 1 1 O b. 1 -1 0

A:

Q: 3. Compute the det A for 0 1 -1 0 -1 3 1 2 A = 2 2 0 -1 - 0 1 -2 1

A: As it is a 4 by 4 matrix we can expand our ain't any column and find the determinant of matrix

Q: This code calculate the SUM of elements in each column of array T(5,3) and stored in array K(3). For…

A:

Q: Suppose that A = PDP-1, where P = A¹ = 100 -1 1 -1 0 -1 0 Use the diagonalization of A to compute…

A:

Q: 3 18 13 2 13 1 Let A = 0 0 0 Find det (15A-¹)

A: Given that a matrix A and we find det(15A-1).

Q: 3 -1 Let A = and B = 1. %3D a) Find all IR Such that the in Columns of AB lin early dependent are to…

A:

Q: in(Zg++s)indeyclic grauf2enerated by I, Z,3

A:

Q: 5. Which (if any) of these matrices are negative semi-definite? -4 0. i.

A: Determine whether the matrix is negative semi definite or not

Q: The matrix that implements the mapping T (₁, 2) = (-3x1 +4x2,0, 7x2 - 5x1,1 + 2x₂) is -3071 4 052 0…

A:

Q: Compute the powers Ak, k = 1, 2, 3, . . . , 2022.

A: A1 =A = 1100011000110001 Let's find A2 = A * A A2 = 1100011000110001 * 1100011000110001 A2 =…

Q: -1 1 0 B 2 4 4 0 3 2 1 1. Let A= and C Let a =4 05 -2 -2 -6 5 -2 2 and 3 = Compute the following

A:

Q: 5. Find LU Factorizatioon of A = [5 2 1 1 3 2 7 1 2 3 2 1- Show the work!

A:

Q: [: ] 4. Let A Show Ais the product o f elementary 2 4 matrices

A:

Q: The Cholesky factorization of 53 is UTU where U is: 3 2 V5 5 -3 V5 1 3. 0 1/5] V5 5 3 0. 1

A: The given matrix is,5332

Q: A₁ = (5+1, 10-) where A = Z+ Ax= [5+2, 10-] where A = Z 24+1 Aa=(1-1, 10) where A = (0,1)

A: Given that  Aλ=5+λ(λ+1),10-λ(λ+1) where λ∈ℤ+Aλ=5+λ(2λ+1),10-λ(2λ+1) where λ∈ℤ+Aλ=1-1λ,10 where…