Let -1 2 -8 A = 1 0 0 1 Is A diagonalizable? If yes, find the matrix P that diagonalize A. Further, find A100.

Q: Find the nullspace of the matrix

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Q: Find a non-zero 2 x 2 matrix such that -67 %3D [-8 24 0 0 2)

A: We have to find the non - zero matrix.

Q: Determine whether the matrix -1 -1 -4 A -8 -3 -16 1 7 is diagonalizable. If A is diagonalizable,…

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Q: Let w = ( -1, -4, -9). By appropriate use of the augmented matrix and elementary row operations…

A: We have to check that w is linear combination of given vectors or not.

Q: Determine whether the given matrix is diagonalizable 3 1 A = 0 1 3

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Q: Use the given information to find A. A-1 [$3 4 5 5 12 NOTE: Write the elements of the matrix…

A: Topic = Matrix

Q: Find all (a) minors and (b) cofactors of the matrix.

A: Minors:

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

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Q: Find the matrix product AB, if it is defined. 1 0 2 - 2 A = 0 3 B = 2 -2 2.

A: Given, A = 1003  B = 32-22-22  We have to find the product matrix AB.

Q: Find a matrix P that diagonalizes 10 0 A = 1 20 -3 5 2

A: Given matrix is A=100120-352 Since A is lower triangular matrix. So, eigenvalues of A are the…

Q: Show that if A is a square matrix that satisfies the equation A2 -2A +I= 0, then A-1 = 2I -A.

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Q: Identify that the given matrix is Diagonalisable or not: -2 A = 2 6 -1 1 5.

A: It is diagonalisable

Q: Determine whether A is diagonalizable. If it is, find a nonsingular matrix P such that P−1AP is…

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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: Matrix A: 1 3 4 6.

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Q: Find the characteristics equation of the matrix [1 2 A -2 -1 01 and hence find A-.

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Q: An identity matrix is represented by... . а. Нн-1 O b. HH-H C. H-H

A: Given

Q: Find a non-zero, two-by-two matrix such that: 6 -7 0 0 -30 35 0 0

A: Nonzero matrix and it's multiplication

Q: Show that the matrix is not diagonalizable.

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Q: Determine whether the matrix is symmetric, skew-symmetric, or neither. A square matrix is…

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Q: Determine if the matrix A = -1 1 1 is diagonalizable. If so, find P, D, so that -3 -1 -3 DDD-1

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Q: If A is a square matrix whose diagonal entries are all zero, then detA = 0.

A: Given information: A is a square matrix whose diagonal entries are all zero.

Q: Show that the matrix is not diagonalizable.

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Q: Find an LU-factorization of the matrix: show solutions. 1 1 a. 1 ⠀⠀ 2 2 2 3 2 5 b. 6 14

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Q: find a non-zero 2x2 matrix such that:    [  -4     7  ]            [  a   b  ]         [  0     0…

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Q: Determine whether A-B is defined. If it is defined, express the result as a single matrix; if it is…

A: Given A=02-1153 and B=110-83-3Yes, A-B is defined.

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: Identify a matrix P that diagonalizes 2 6 A = a. 1 P = - 2 Ob. P = -1 0 0 2 Oc. P = 01 1 2 O d. -2 P…

A: Solution

Q: Use a software program or a graphing utility with matrix capabilities to find |A|, JATI, JA²I, 12A|,…

A: NOTE: Refresh your page if you can't see any equations. . properties of a determinant are where…

Q: Show that if A is a square matrix that satisfies the equation A2 - 2A + I = O, then A-1 = 2I - A.

A: Given that,                    A2-2A+I=0

Q: Explain why the matrix is not diagonalizable.

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

A: Solution

Q: Find the matrix X, such that XDC - 2XC — ХС? + С satisfies. 3 4 4 6 6 5 C = 1 2 1 D = 1 3 -2 4 -2 -4…

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Q: Find the value of c that makes matrix A= defective Select one: а. 1 b. -2 C. 0 d. 2

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Q: Determine whether the matrix is symmetric, skew-symmetric, or neither. A square matrix is…

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Q: Explain why the matrix is not diagonalizable.

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Q: If A is 3x3 nonsingular matrix such that AA =A A and B=A A then BB= -1 T Select one: -1 a. В -1.T b.…

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Q: a) (11-1) If A = 0 -2 3 001 , Show that A² = −4+27, where is the identity matrix.

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Q: Find all values of a such that A3 = 2A, where   (see image of matrix)

A: Consider the given matrix,

Q: Find all a > 0 and B>0 so that the matrix 3 2 B A A =| a 5 B 1 is strictly diagonally dominant.

A: The given matrix,A=32βα5β21α

Q: Let A be 3x3 matrix where det(-A) = 2 2007 let B =030 Then det(A BAB) = L004 Answer:

A: Properties of determinant: det(-A)=-det(A)det(A-1)=1det(A)det(AB)=det(A)·det(B)det(An)=(det(A))n If…

Q: Find a matrix that Diagonalize A and check your work by computing P-1AP. [2 0 -2 A=0 3

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

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Q: Let -1 1 A = -1 1 -1 -3 3 Find an upper triangular matrix which is orthogonally similar to A.

A: An upper triangular matrix is a triangular matrix with all elements equal to below the main…

Q: Find the inverse of the matrix (if it exists). (If an answer does not exist, enter DNE.) -19 33 4 -7

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Q: Give an example of a 4 by 4 matrix A, which is not symmetric, however A is symmetric.

A: A square matrix is said to be symmetric if it is symmetric about the main diagonal.

Q: Use a software program or a graphing utility with matrix capabilities to find |A|, |A|I, JA²I, 12A|,…

A: Note:- According to our guideline , I solved only 3 subparts question.please repost the remaining…

Q: For the matrix A, find (if possible) a nonsingular matrix P such that PAP is diagonal. (If not…

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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.