[: b singula -3 Find the value of b that make the matrix A 4 b =

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

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Q: 3. Find the value of a, where A = 43 L-2 0 a -3] 2 is singular matrix.

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Q: A is a 4 by 4 matrix with 1 's on the diagonal and -a, -b, -c on the diagonal above. Find A - 1 for…

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Q: For which values of the constants b and c is the follow- ing matrix invertible? 1 b -1 -b

A: The given matrix is 01b-10c-b-c0

Q: . Find the rank of the matrix : 3 2 11 3 4 3 -1 2 2 Find rank of matrix

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Q: Find the LU factorization of the matrix A, where 3 -5 2 3 2 -2 A = -1 -6 1 -1 -4 1 2 1 2.

A: We know that A = L U where L is the lower triangular matrix and U is the upper triangular matrix.

Q: find the transpose of the matrix A C = 3 5 2

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Q: Find an LU factorization of the matrix A (with L unit lower triangular). 4 A = - 4 -3 L = U =

A: First, define the matrices L and U . Let, the matrix L be defined as L=10l211 Let the matrix U be…

Q: Find the detemination of matrix:- B 1 2

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Q: Find an LU factorization of the matrix A (with L unit lower triangular). 2 -4 A = 4-4 3. - 1 18 -3

A: The LU factorization of a matrix A is writing A as the product of matrices L and U, where L is a…

Q: If A is a rank one matrix, the second row of R is ___ . Do an example.

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Q: Find the cofactors of the matrix -2 - 4 l1 2 3.

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Q: What is the rank of the matrix?

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Q: find an LU factorization of the given matrix.

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Q: 9. A = -2 2

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Q: Is it possible for a matrix to be both upper triangular and lower triangular? Oa. Yes O b. No

A: Solution

Q: (b) Find the LU factorization of the matrix: 1 -1 A= 3 -4 -2 | 2 -3 -2

A: The given matrix is                                A=1-1-13-4-22-3-2 We have to find the LU…

Q: Find ∣A−1∣ for the matrix

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Q: find an LU factorization of the given matrix.

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Q: Find the negative of matrix. A] = { 0. [A %3D -3 8

A: Given that, the matrix is A=2045-38. Note that, the negative of the matrix A is -A.

Q: Find the singular values of the given matrix.

A: To find the singular value s of the matrix

Q: , and c

A: Given quadratic form is, Here, A is symmetric matrix as,

Q: Consider matrix A. -3 5 2 A = 8 -1 3 What matrix results from -8·A?

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Q: - E- is multiplied by is equal to zero, then matrix If matrix A 3 B1 C.o D-2

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Q: (a) Approximate the value of - Vx+ A Q4 dx, using two and three points Gauss Quadrature where A is…

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Q: Find a two-by-two matrix such that: -9 5 1 0 3 5 0 1

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Q: Diaganolize the following matrix. 0 0 -1 -1 0 0 3

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

A: Sol

Q: b. If possible, produce a diagonal matrix similar to the following one 2 2 1

A: Use the following formulae, to obtain the solution. The eigenvalues λ1 and λ2 of the matrix A are…

Q: (4) Let A be a 3x3 matrix. If |4|= 2 , then |3.4|=,

A: Given that A be a 3*3 matrix and |A|=2. To find the value of |3A|

Q: Find A. -1 (4A)-1 ; -4 2 A =

A: Let the given matrix be B. 4A-1=-11-42=B4A-1=B4A=B-1A=14B-1 Find the inverse of matrix B as follows.…

Q: Hi, what is the fastest way to find the cofactor matrix for a 3x3 matrix? The calculator allowed is…

A: Let us suppose that the given matrix is A:

Q: Q3. Diagonalise the matrix [A]. 4 33 [A] = 3 6 1 3 1 6

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Q: B: find A of the matrix 2 1 3 3 2 -1 -4 3 -1

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Q: Find a non-zero, 2 x 2 matrix such that: -5 -5 25

A: Solution

Q: Find an LU-factorization of the matrix A 2 11 -6 6 4]

A: Given, A=-21-64

Q: Find the matrix A if 2 1 A = 4 2 %3D -1 3 1 3 B3: A =

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Q: An identity matrix is represented by... О а. Нн-1 O b. H-1H О с. Нн-1н

A: If we multiply a matrix by its inverse we get the identity matrix.

Q: Find an LU factorization of the matrix A (with L unit lower triangular). 6 4 A= 12 5

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Q: Find an LU factorization of the matrix A (with L unit lower triangular). 4 A = - 4 3 L = U =

A: Given that, A = LU

Q: Find the nullspace of the matrix

A: The nullspace of the matrix is to be determined, The matrix is shown below as,

Q: Find the matrix B such that 2AT+3B=0.

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Q: Find a non-zero 2 x 2 matrix such that -7 1 35 -5

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Q: 6 X1 -1 -5 X2 II

A: Let us consider the system of differential equation X'=AX then the solution of system of equation is…

Q: Find the LU factorization of the matrix A, where 3 -5 2 -2 A = -1 -6 1 -4 1 2 1 2. 2.

A: Given matrix is A=−23−5232−22−1−61−1−4121. We have to find the LU-factorization of the matrix A. By…

Q: Q6/ Find the detemination of matrix:- 2 1 5 1 B 1 1 2 2

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Q: Find the LU- Factorization of the matrix A below 1 -2 3 A = 2 1 -4 4 1-4 6. 5 -2

A: Given 21-1-20321-441-465-2

Q: Give two examples of a matrix which is its own inverse (that is, where ?^-1 = ?)

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Q: Consider the matrix. -3 5 C = %3D -2 4 What is the value of ? |C|- %3D

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