Orthogonally diagonalize the matrix 1 -1 -2 A -1 2 -2 3

Q: Use Gaussian elimination to find the inverse of the matrix 1 A = -7 -1

A: Use Gaussian eliminate method

Q: Diagonalize the following matrix. A = 6. -1 -1 -2 -1/

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Q: Find the inverse of the matrix using elementary matrices.

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Q: The reduced row echelon form of the matrix A is I3 . Describe all possible matrices A.

A: Consider the reduced row echelon form of a matrix A is I3. We need to determine all possible…

Q: True or False: The following matrix is diagonalizable. 1 -0 -2

A: For the solution follow the next step.

Q: Determine the inverse matrix of matrix C. 2 3 C- -2 8]

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Q: The transpose of a square matrix is

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Q: Find the diagonal line matrix P 7 -5 0 4 -1 A = 2 8 -3

A: Given the given matrix is A=57-504-128-3

Q: Find the inverse of the matrix using elementary matrices.

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Q: -1 1 1 -2. -2 8. -8

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Q: Perform the matrix operation. (If not possible, enter IMPOSSIBLE in any cell of the matrix.) 3 -2 1…

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Q: Determine the diagonal matrix. 1 -3 -2 0 0 0 4 (1 3 5)

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Q: Determine all 2x2 matrices such that A? = I,: A- (: :) 0. b

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Q: Let. A=[3,2,1;4,2,3;-2,1,-3] Convert the matrix unit using elementary operations

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Q: Diagonalize the given matrix if possible: A = [1 2 0 -1

A: Our Aim is to diagonalize the matrix A=120-1

Q: 2 0 -1 2 0 0 1 1

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Q: Orthogonally diagonalizable the following matrix -4 -2) A = -4 5 2 -2 2 2

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Q: product of a matrix and its inverse is

A: Matrix: Let A be a matrix  B is the inverse of the matrix. A=B-1 AB=I

Q: Give an example of a 3 x 3 upper triangular matrix A that is not diagonal. A =

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Q: Find the transpose of the matrix. 0 1 7 2 -1 2 8 5.

A: Given that  The matrix is  To find the transpose of the matrix is

Q: What do 2 × 2 matrices represent graphically?

A: 2 × 2 matrices represent:

Q: 1 -2 Diagonalize the matrix B 3 -4 ||

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Q: Find the inverse of the matrix 1 2 3 0 4 5 0 0 6  Using an augmented matrix

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Q: the matrix A = and explain why or why not this matrix is diagonalizable

A: In the given question, concept of diagonalizable matrix is applied. Diagonalizable Matrix Any square…

Q: Orthogonally diagonalize the matrix 1 2 2 -2

A: Given,     122-2

Q: 0 -2 3 2 3 Diagonalise the matrix

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Q: Explain the Main diagonal within a matrix ?

A: The main diagonal within a matrix consists of those elements which lie on the diagonal that runs…

Q: Either diagonalize the matrix -2 0 1 B = 4 2 -3 -4 0 2 or show that B is not diagonalizable.

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Q: Give an example showing that the rank of the product of two matrices can be less than the rank of…

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Q: Use the definition of Ax to write the vector equation as a matrix equation. - 6 8 - 1 - 9 5 3 X1 - 2…

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Q: Explain why the matrix is not diagonalizable.

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Q: Determine the size of the matrix. 2 -1 -1 1 2 0 1 3 -1 1 4 0 1 5. 3.

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Q: 으으 Evaluate the product by treating it as a linear combination of the columns of the matrix. The…

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Q: Let matrix A be 2 by 2 matrix and 1 A. 4 and 1 4 .2) 2 Then what is A=? ||

A: At first we will suppose a matrix A as 2x2 matrix and simplfy second condition by pre multiply by A…

Q: Orthogonally diagonalize the matrix -1 -2 1 2 3 | A = 1 -2 -1 1

A: The given matrix is: A=3-1-2112-2-11

Q: Perform the matrix operation. (If not possible, enter IMPOSSIBLE in any cell of the matrix.) 0 7 9 2…

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Q: Use the definition of Ax to write the matrix equation as a vector equation. - 4 -7 - 20 -5 8 -2 42…

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Q: Transpose the matrix -2 -1 2 2 -1

A: The given matrix is:312-2-1002-1To find the transpose.

Q: State whether the matrix is diagonalizable or not. 0 6 0 0 O diagonalizable O not diagonalizable

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Q: Diagonalize the matrix if possible [ 0 1 1 2 1 2 3 3 2 ].

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Q: Find the trace of the matrix A =

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Q: State whether the matrix is diagonalizable or not. [:] 0 7 0 0 O diagonalizable O not diagonalizable

A: Given matrix is 0700 and now subtract λ from the diagonal elements=0-λ700-λThe determinant is…

Q: Determine whether the matrix B = is awesome or not. %3D

A: 7.1 To determine whether the matrix B is awesome or not. Where  B=i2−3232−i2and B is awesome if…

Q: Give an example of a 3× 3 diagonal matrix.

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Q: (0 8 1 1 4 -1

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Q: Diagonalise the symmetric matrix A = 4 2 2 2 4 2 2 2 4

A: Given symmetric matrix is  We have to diagonalise the above matrix. First we will find the…

Q: 2. Orthogonally diagonalize the matrices. -4 4 1 5 (a) 5 1 (b) |-4 4 9

A: The given matrices are; a)  1 5       5 1 b).   7  -4  4        -4  5  0         4  0  9

Q: Define the properties of the inverse of a matrix?

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Q: Q5. Diagonalise the matrix [A]. 4 3 3 [A] 3. 6. 1 %3D .3 1 6.

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