Can the following matrix be diagnolized? 2 -1 0 2

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

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Q: What are the dimensions of the following matrix? 9 -9 -5 2 7 - 7 8 -2 -7 1 -2 3 9. -4 -9 2 -4 –2.

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Q: Consider the given matrix A 4 -1 -2 5. 14 A= 9. -1 2.

A: Given matrix is A=4-1-22514-49-1. To evaluate the cofactor C23 of the given matrix. Solution:…

Q: Are the matrices similar? No. Yes. [1 0 21]and [ 1 0 1

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

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Q: Determine if the matrix is nonsingular. Explain. [1 3 21 1 4 l1 -7 21

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Q: Is it possible that the following matrix is a consumer's Slutsky matrix? -6 -3 -3 1 1 B = 1 1 is…

A: If a matrix is equal to its transpose then it is a slutsky matrix.

Q: Consider the following matrix A, where -2 4 -2 -4 A = 2 -6 -3 1 -3 8. 2 -3

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Q: Find the following matrix product, if it exists. -3 -4 2 -3 - 1 1 0-2 -3

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Q: Determine whether the matrix is positive, negative definite or indefinite [7 4 7] A= 4 7 4 4 4 7

A: A matrix is a positive definite if the matrix is symmetric and all its eigenvalues are positive.  A…

Q: Is the following matrix diagonalizable?

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Q: Diagonalize the following matrix, if possible 2 2 -1 1 3 -1 -2 2

A: In this question we have diagonalize the given matrix.

Q: 5 2 ; B = -2 -2B

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Q: 10 - 2 -5- -2 2 3. ST 3.

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Q: What is the correspondence of the following matrix? 1 0 0 In = 1 0 0 1

A: One to one correspondence

Q: Find the matrix A. [2 -2 1] A 1 13

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Q: All leading 1's in a matrix in a row echelon form must occur in different columns. O True O False

A: Given problem:- All leading 1's in a matrix in a row echelon form must occur in different columns.…

Q: If A is a 3 x 3 matrix and B is a 2 x 2 matrix, then Select one: True False det(A) # det(B).

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Q: If A is a 5X4 matrix and B is a 3X5 matrix, which of the following two products is defined (Select…

A: Explanation of the answer is as follows

Q: Find the following matrix product, if it exists. -8 -3 9 -9 - 3

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Q: Diagonalize the following matrix. -5 – 12] 6 12 %3D D = P-1 = 00

A: Matrix  -5-12612

Q: 0 -1 -2 Put the following matrix into RREF: 1 1 2 -1

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Q: Find the rank of the following matrix: 1 1 2 1 1-a 2 2 2-а 6—а 4

A: we have to find the rank

Q: Consider the following matrix. 2 -1 1 A =-4 -1 -4 1 -1 0 Choose the correct description of A. 1 if…

A: A matrix is said to be singular if determinant of that matrix is zero otherwise the matrix is non…

Q: If A is a 3 x 5 matrix, B is a 5 x 7 matrix, C is a 7 x 11 matrix and D is a 5 x 7 matrix, which ONE…

A: ACB=A3×5 ×C7×11 × B5×7  , here the number of columns of A and the number of rows of B does not…

Q: Consider the following matrix: 3 4 A 1 2 -1 b -3 1 If rank(A) = 2, a + b =?

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Q: Diagonalize the following matrix, if possible. 2 4 3 A = -4 -6 -3 3 3 1

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Q: Consider matrix A. -3 5 2 A = 8 -1 3 |

A: A=-3528-13To find the elementary row operation -3R1+4R2

Q: Diaganolize the following matrix. 2 0 -2 10 P = D = P-1 =

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Q: : Diagonalize the following matrix, if possible [4 1 31 3 8 7 l2 7 5]

A: find the Eigen values  the characteristic equation is given by A-λI where I is the identity matrix…

Q: Find the following matrix product, if it -9 = 3 6. 7. 3. 4

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Q: Consider the matrices. -1 6. -4 -2 A = 4 2 -8 8 and B = 2 %3D -7 -11 6 5 What matrix results from B…

A: Solution-

Q: Find the following matrix product, if it exists. -3 3 -3 -4 3 -3 - 1 -3 -2 2.

A: Given matrices are 32-33-3-1 and -31-40-3-2 This matrix multiplication since the number of columns…

Q: Find LU factorization for the following matrix. 6 3 1 X = |-6 0 -16 8 -17]

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Q: 5. diagonalize the following matrices, if possible. 4. 2 2 2 4 3 -1 -2 (1) (2)

A: In this question we analysed by geometric and algebraic multiplicity. If they are equal for each…

Q: Which of the following operations on a matrix may not be an elementary operation row ...

A: Which of the following is not a elementary row operation on a matrix.

Q: The matrix A = 9. is similar to the matrix B= Select one: O True O False

A: Two matrixes are said to be similar if they have the same rank,same trace,same determinant ,same…

Q: Use the following matrix. A= [1 0 -2]       [3 2 1]       [4 0 3] What is the element a11?

A: Given matrix A= [1 0 -2]      [3 2 1]      [4 0 3]

Q: Find an LU factorization of the following matrices а. 1 4 -1 7 -2 -2 -3 1 -4 -1 6 -1 7 b.

A: As per bartleby guideline for more than one question asked only first is to be answered please…

Q: Diagonalize the following matrix -1 2 -2 A = 1 -1 -1 0

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Q: b) Diagonalize the following matrix, if possible 2 2 -1] 3 -1 -1 -2 1 2

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Q: Diagonalize the following matrix, if possible a: [4 1 3] 3 8 7 l2 7 5]

A: Consider the given matrix. A=413387275 Now, find the eigenvalue of the matrix.…

Q: Find the matrix A if 4 1 A -1 3 2 3 1 4

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Q: Consider the matrices. -4 -1 -8 8 -1 -2 -6 A = B%3= and -3 -7 10 -6 5 -9- What matrix results from…

A: A matrix can only be added to another matrix if the two matrices have the same dimensions . To add…

Q: Determine the rank of the following matrix. 0 2 3 -4 0 1 0 0 -1

A: rank of matrix

Q: Consider the following two matrices.  Why can't the product of the following two matrices be found?…

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Q: The matrix A= 3 4 is similar to the matrix B=| Select one: O True O False

A: We have to cheek similar

Q: Determine the rank of the following matrix: -2 3 -1 1 4 3 5 11 -6 5 -3 7 -10 4. 0 8 -8 -1 2 02

A: Try to form row echelon form of the given matrix  We know,   rank of matrix = number of non zero…

Q: Find the following matrix product, if it exists. 1 00 6 -5 0 1 0 -8 -2 -6 0 0 1 1 8 Select the…

A: Given the left side matrix is an identity matrix I. So, IA=A

Matrices

‘Matrices’ is the plural form of the word matrix, and it is basically a spreadsheet in the form of a box. In mathematics, various functions can be carried out with matrices. Generally, a matrix comes in the shape of a square or rectangle. The elements are distributed horizontally in the form of rows, and vertically in the form of columns.