Activity 2. Find the lower and upper triangular matrix of C= = L= = r1 -6 02 0 -3 39 -1 1 -5 25 48 U = O D

Q: find the elelment in the 3rd row and 1st column of the matrix cofactor 7 2 5 3 1 4 1 2 1

A:

Q: Find the LU factorization of -1 -5 -4 A = -5 -26 -18 That is, write A = LU where L is a lower…

A:

Q: 4 1 34. The rank of the matrix A = 2 -1 is -7 -14 4 8 -1 (A) 1 (B) 2 (C) 3 (D) 0 (E) 4

A: To find The rank of a given matrix A.

Q: Find the LU factorization of A = A = 9- -4 E -4 That is, write A = LU where L is a lower triangular…

A:

Q: Find the matrix A if 3 1 4 A = 11 00

A:

Q: Use a graphing utility with matrix capabilities to find the following, where u = (1, 2, 1, -3), v =…

A:

Q: REI [1.5 5 -151 2 30 -1 2 1 .5 and C= [-2]. -.5 16. For this problem, let A = a) Use your calculator…

A:

Q: c. Find an orthogonal diagonalization of the symmetric matrix 1 -2 0 A = -2 1 4

A:

Q: Consider the matrix A= Calculate a31 Calculate 932 755 826 5 2 6 e 9 dh n bf a

A:

Q: Diagonalize the following matrix: 1 7 - 1 13 5 -5 -7 - 1 7 not diagonalizable 6 0 0 -9 0 0 - 12 90 0…

A:

Q: 2 2 1 6 4 4 1 10 88 8 -1 4 13 26 23

A:

Q: Find the numbers of the pivots to the matrix below: 2 1 1 1 2 -1 0 1 4 4 4 -3 11 O 4 O 2 O 3 O 1

A:

Q: Let A = (a) and B = (A + B)(A + B) (b) A2 + 2AB + B² 3) Let A2 and B2 denote the matrix products AA…

A: A=5423B=8759

Q: * ( For the matrix shown find (- 3 A 3 - 1 4 1 A = %3D 1 1 6.

A:

Q: Find A-5B. -7 9-4 6 - 6 B = 3 -4 -9 A= 3 -7 12 15 -10 A-5B% D 11 3. (Type an integer or decimal for…

A:

Q: Find the transpose of the resulting matrix: -100 A = 2 3 4 x 5 2 5-4

A:

Q: The rank of the matrix A Number 1 2 3 4 5 6 IS

A:

Q: Find an LU-factorization of the matrix : 4 1 2 5 1 2. 3 - 7 6 14 16 11 1

A: Recall: LU factorization by using Gaussian Elimination method

Q: A = 2 - 4 4 -2 6-9 7 -3 -1 -10 18 -7

A: Sol

Q: Diagonalize the matrix A || -1 −1 1 4 16 by writing it as A = PDP-¹

A:

Q: Consider the matrix: 1 2 -2 0 -1 3 4 1-1, Perform R3 - 2R2: 1 2 0 0 3 2 4 3

A: Given query is to perform the indicated matrix operation.

Q: 2. Find the rank of the matrix 1 3 4 5 8 9. 10 11 12 13 14 15 16

A:

Q: (A" – 21) * - | ) 3. Determine the matrix A if

A:

Q: B) find the transpose of the matrix A C = 3 2

A:

Q: How to make this matrix diagonally dominant?

A:

Q: Consider the matrix A = Calculate a22 = 8 5 d n -( :-(29 766 b f 468 h с Calculate 932 = a e

A: It is provided that: A=852766468·dngbfahce. We need to calculate a22, a32.