Consider the following LU decomposition of the given matrix: 1 -1 2 1 0 OT2 1 -1 2 О а22 U23 U24 0 0 a33 U34 4 5 -3 6 21 1 -2 5 -2 6 31 /32 1 41 l42 l43 1 0 0 O a44 4 11 -4 8 What is u34? -2 none of the choices 2

Q: Find an LU decomposition (factorization) of 9. 8 A = 5 3 That is, write A = LU where L is a lower…

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A: Given matrices, A=2310,B=1-101 The main objective is to find the matrix product.

Q: Is the matrix A = 1|2 TILL -1 1 1 -1 -1 1 1 -1 1 1 -1 is orthogonal matrix.

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Q: → Answer the following questions about BV 's, basic solutions, and bfs for this LP. Is there a basic…

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Q: Q3: if it was V2 B =1.A = [VZ o 3] 1.A [V2 O 3) Find В.А A.B , VZB

A: 3B=21-2 ,  A=203B.A=21-23*1 , A= 2031*3=222023121013-22-20-23=2032203-220-6

Q: find the inv erse :- 24 A A B = 3 -2 -3

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Q: Given the matrix A 1 2. 2 -1 -1 1-2 -1 2809 %3D 290 command B=tril(A,-1)+eye(4). The third row of…

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Q: Suppose that C is an n x n matrix that I is an n x n identity matrix, and det (CI) = 0 Show that…

A: Given that det(C−I)=0, where C is an n×n matrix and I is the identity matrix of the same size, it…

Q: snip

A: The determinant of an orthogonal matrix is always one. Therefore to prove that the given matrix,…

Q: Do the columns of the matrix span IR? Select an Answer v 1. 3 3 -3 3 A = -5 -4 3 -1 -4 -4 4 -4…

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Q: X 4 10 Let f(x) = sin(₁ ) and g(2) = -21-2 (2-1) 2 3 Let R and S be the two regions enclosed by the…

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Q: Which of the followings are always true? 1. A? = I implies that det(A) = 1 II. If A and B are upper…

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Q: Let the matrix A be given by -11 1. -5 0 2. -1 3

A: Given matrix is 10-11 21-50 1-100 0003 To find:  Minor M11 Cofactor C11

Q: 3 Orthogonally diagonalize the matrix A = giving an orthogonal matrix P 4 and a diagonal matrix D…

A: Step 1:Step 2:Step 3:Step 4:

Q: How do we know that the ith row of an invertible matrix B is orthogonal to the jth column of B if i…

A: We have been given a matrix B. To Prove: ith row of B and jth col of B-1 are orthogonal, where B is…

Q: Let A be a 4 × 4 real symmetric matrix witheigenvaluesλ1 = 1, λ2 = λ3 = λ4 = 0 What type of matrix…

A: Given, A is a 4×4 real symmetric matrix with eigenvalues 1, 0, 0, 0. Now we have to find what is the…

Q: ind the Lower and Upper Triangular matrix using Cholesky method

A: Here use the Cholesky method to find the lower and upper triangular matrix of the given matrix.…

Q: (2) Let A = UDV" be a SVD of a square matrix A. What is the sum of squares of the singular values,…

A: We find the sum of squares of the singular values in terms of A.

Q: Determine whether or not the following sets S of 2 x 2 matrices are linearly independent. 4 4 ✓1.S=…

A: As per our company guidelines we are advised to solve only the first question. Kindly repost the…

Q: Exercises A. Consider the matrices below: 07 [1 C = 2 [1 A = 2 -11 2 B = 3 -1 7 5 11 5 3 [12 E = |2…

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Q: -1 let A,B are invertible matrices of size n, then (AB) Select one: -1-1 a. A"B" -1 b. A*B --1.-1 с.…

A: Let A,B are invertable matrices of size n then we find (AB)-1. We know that : AA-1 = I  ;here  'I'…

Q: Find a 3 x 3 matrix A such that Az = 10 for all i in R³. A =

A: Given Ax=10x  We have to find 3×3 matrix A  Now

Q: 4- Determine the rank of the following matrices: 2 8] [3 4 5 [1 7 6 ii- A=1 2 3 5 3] [3 9 21 iii- A…

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Q: Show that any two rows of a matrix can be interchanged by elementary row transformations of the…

A: The two transformations are as follows:, this means that multiple row 'i' by 'k', this means that…

Q: Consider the following LU decomposition of the given matrix: 1 0 0 0T2 1 -1 2 2 1 -1 2 4 5 -3 6 0…

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Q: Four MBA students take the same six courses at graduate business school. Their final marks in these…

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Q: Construct a 4×3 matrix A and vectors ~b and ~c in R4 so that ~b is in the range ofthe linear…

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Q: Find the inverse matrix for [b11 b12 b13 b14] b21 b22 b23 b24 b31 b32 b33 b34 [b41 b42 b43 b44] 1 5…

A: To find the inverse of the given matrix

Q: on prevents changes to this answer. Use Gram-Shmidt procedure to fatorize the matrix into QR, with…

A: Given matrix  A = 1014

Q: Diagonalize the following matrix: 21 0 4 - 1 -4 3 1 - 1 400 0 1 0 00-2 not diagonalization 40 0 02 0…

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Q: Let A and B be two 3X3 matrices with det(A)=4 and det(B)=3. Then we have det(A'B²)=9/4. Select one:…

A: Given:

Q: Initiate a 3X3 matrix A. A = Here all the cell values should be randomly selected by you. Now…

A: Let A=1022-13418. To obtain the LU-decomposition matrix, use the elementary transformation.…