4. The adjoint of the matrix A = 1 2 1 a. 51 b. 10 15 -2 31 C. -1 . Sone of these

Q: y rows of the matrix A have pivot position? c. 3 d. 4 e. None of these

A:

Q: 11. 1 2 3 2 6 3 0 6 -6 -1 -2 -9 -1 0 7 0

A: Given: A matrix .To find: An LU factorization of the given matrix.

Q: Let's create a matrix that reflects around a line that is perpendicular to the vector n = (0.375,…

A: Given: In this problem, the given details are We want to create a matrix that reflects around a line…

Q: Compute A² 2A + I. 2 0 1 0 -5 0 5 0 2 NOTE: Write the elements of the matrix exactly. A = -(0 A² -…

A: We have to find the value:A2-2A+IWe can simply calculate matrix multiplication and matrix addition

Q: Find the basis of row space of the matrix A given in the attached image . Please answer quickly .

A: A=1231337638-2-5-30326024351312R2⇒R2-3R1, R3⇒R3+2R1, R4⇒R4-2R1,…

Q: . Given the matrix A 2 4 find the matrix 41 − 4A − A² + A³ - 4 −3 – 1 1 1 - 2 4

A:

Q: 2 + jai a2 +j Suppose A = is a 5– jaz 3 – ja4 Hermitian matrix then a. aj any real number b. aj = 5…

A:

Q: -23 16 24 Let A = -6 5 . Find an invertible matrix P and a diagonal matrix D such that D = P-'AP.…

A:

Q: 12. Find A + B, where -1 3 5 2, B = 0 -2 -3 0 5 2 -3 2 -3 a) A =-1 9 -3 b) A = B = -4 -3 5 -2 -1

A: a) Given A = 104-1220-2-3B = -13522-32-30 Then A+B = 104-1220-2-3+-13522-32-30=…

Q: 6 -4 For the matrix A find a matrix C such that C-1AC is in canonical form and 1 state the canonical…

A: Given matrix is A=6−412. We have to find he matrix C such that C−1AC is in canonical form and state…

Q: Find an LU factorization of the matrix A. 3 5) A = 6 24 7 3 6 -5 22

A:

Q: 5. Calculate the L and U matrix and proof that PA=LU. 10 -7 0 A = -3 26 5 -15

A: Firstly I find lower triangular matrix LL and an upper triangular matrix UU And the show that PA=…

Q: 3 Construct a 3 x 3 nonzero matrix A such that the vector 2 is a solution of Ax = 0. A = [(1,2,3),…

A:

Q: a2 If the columns of the matrix A = -1 are orthogonal, then 2 -1 2 az = 1 a. O b. az = -1 C. a3 2 d.…

A: If column of matrix  A are orthogonal then  B = A^T A  Elements B(i,j) = 0 for i is not equal to j.

Q: 19. Verify that the matrix is orthogonal, and find its inverse. 3 25 12 16 25 25 ... bp 云 41535 45

A: Solution:-

Q: Find the values of a, b and c which make the following matrix equation hold: 4 -19 [158 -196 -117]…

A:

Q: What matrix E puts the matrix A into an upper tr 4= U? Show your work! 210 042 A =

A: Introduction: In linear algebra, LU Decomposition, also known as lower–upper (LU) decomposition or…

Q: 2. Find the LU factorization of the following matrix. 1 1 A = | 1 2 3 1 3 6 /1

A:

Q: 1. Find the sum of Matrix A and B: [2 5 81 A = 1 2 4 3 2 81 [5 8 71 2 2 2 4 3 c_d)=(ac-bd), -4 cos…

A:

Q: Calculate the matrix multiple А. 1. 2 3 (1 4 5 6. 1 .7 8. 9. 0 1

A: Since you have asked multiple questions in a single request, we would be answering only the first…

Q: Consider the matrix A == ((1, 2, 5)|(4, 6, 7)|(1, 5, 1)) and the row vector v = > A = ((1, 2, 5)|…

A: As per guidelines, I can do only first question (Question 1.)

Q: A= (₁ 3) find A¹. Check your answer, please. (The matrix A¹¹, if found correctly, will satisfy the…

A: