A directed graph G has 5 vertices, numbered 1 through 5. The 5x5 matrix A is the adjacency matrix for G. The matrices A? and A³ are given below. 0 1 0 0 0 1 0 0 0 0 0 0 0 0 0 10 0 0 1 0 0 1 0 0 1 A? = 1 0 0 0 0 0 0 1 0 0 1 1 0 1 1 0 1 1 1 0 1

Q: (c) The following matrix represents the adjacency matrix of a directed graph consisting of six…

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Q: find an oxohogonal or unitary dragonalizing or matrix cach The to lloweng bor 2 (a) (b) 3 -i 4 o 0 2

A: Solve the above question.

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A: NOTE: Refresh your page if you can't see any equations. .

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Q: Find an invertible matrix P and a diagonal matrix D such that P AP=D. -4 0 -1 A = | 30 1 6. 6 0 1 0…

A: To find the diagonal matrix

Q: Find an invertible matrix P and a diagonal matrix D such that P AP=D. 1 12 0-6 0 3 00 A = 0-36 1 18…

A: Given that, A=1120-603000-361180003We need to find an invertible matrix P and a diagonal matrix D…

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A: The number of linearly independent row in a matrix A is called the row rank of A.

Q: 3 Let A be a 3x7 Matrix such that dim Nul A= 5, Find dim Pow A, dim Col A, dim Row AT, dim Col AT,…

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Q: The identity Matrix is defined by 1 1 а. 1 1 1 0 1 0 1 с. 1 0 1 d. 1 1 Select one: а. а 6.

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Q: 0 0 0 1 2 0 0 0 1 1 0 0 0 2 1 1 1 2 0 0 2 1 10 0

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Q: 3) Let A be a 3x7 Matrix such that dim Nul A= 5, Find dim PowA, dim Col A, dim Row AT, dim Col AT,…

A: To find the dimensions

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A: Given: L=006a312000130,  a>0.

Q: Thank you!!!

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Q: 5. Let A be an n x n matrix. Show that if B = S-¹AS for some nonsingular matrix S, then det(B) =…

A: Here, given that: B=S-1AS

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Q: Determine the dimensions of Nul A and Col A for the matrices. A = 10

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Q: Find an invertible matrix P and a diagonal matrix D such that PAP=D. -20 0 A = -4 0 -4 0 0 -2 0 0 0…

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Q: determined 8. If A is an mxn matrix and AA is invertible then the rank of A is cqual to b. m-n C. d.…

A: “Since you have asked multiple question, we will solve the first question for you. If youwant any…

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Q: If A = and A = P + Q, where P is a symmetric matrix and Q is a skew- symmetric matrix. Compute the…

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Q: Let -3 -1 2 - A = 1 -1 -4 -1 3 Find an invertible matrix P and a diagonal matrix D such that D =…

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Q: a) If a n x (n + 5) matrix has rank n, find dim Nul A, dim row A and rank A".

A: Given n=2 Matrix A is 2×7 matrix  We need to find dim(Nul A) ,dim(row A) and rank AT

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Q: How many free variables does each augmented matrix have? 1 -3 -7 а. 1 0 0 10 2 0 1 0 0 3 b 0 0 0 0 0…

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Q: 24. Let a matrix B is defined as [2 1 -1] B = 3 2 -3 L3 1 -2 Find, a) a nonsingular matrix P such…

A: The given matrix is: B=21-132-331-2

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Q: Find the values of k for which the matrix B is invertible. B = -2 1 0 2 k 4 3 1

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Q: Drow the digraph represented by the adjacency matrix 1 ㅇ 1 0- ㅇ ㅇ 1 ㅇ 1 ㅇ ㅇ 1 1 0 0 0 10 0 0 1 0 0 0…

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Q: 6. Find the matrix representation for the following multi-qubit kets: (a) |1) ® |1) 8 |0) (b) |1) ®…

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Q: (c) The following matrix represents the adjacency matrix of a directed graph consisting of six…

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Q: A upper triangular matrix of matrix A is a. U = E, E1... E, E, A b. U = E, E,... E, E A c. U = E,"…

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A: Row Echelon form : A matrix is in row echelon form if all rows consisting of only zeroes are at the…