If M is the matrix: 19 5 -1 0 2 0 -2 7 -4 0 2 2 -2 -1 3 then what is IMI?

Q: 4 Is the matrix A = -3 O Yes O No 1-3 1-3 2 -1 -4, invertible?

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

A: A matrix is diagonalizable if and only if for each eigenvalue the dimension of the eigenspace is…

Q: " Find a QR factorization of the matrix: 02-10 11 20 0200

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Q: 3. Diagonalize the matrix: 1 1 0 1 0 1 1 1 1

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Q: What is the rank of the matrix A = 2 1 5 -1 2 -5 0 3? -3

A: See this solution in below.

Q: Is the following matrix diagonalizable?

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Q: Find a 2 x 2 matrix such that 3 -2 -2 = 61

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Q: T 3 0 0 ? 0 2 [ 2 2 0 0. 0. 0 2 2 0 2 0 3 3 0 -2 | 2 -2 2 0 3 0 0 0 -1 4 -2 -2 -2 3

A: Explanation of the solution is given below...

Q: -5 4] -5 2 1 ||

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Q: -3-9 9 adj -2 -7 1 1 -9 -10 1

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Q: ) Write the following matrix as a product of elementary matrices: H 1 1 0 02 -3 1

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Q: Diagonalize the matrix [5 -14] 4 -10 A = by writing it as A = PDP-¹ P = D = P-1 =

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Q: Consider the matrices A, B, C. 1 4 2 --1 3 3 -1 3 A =|3 0 1 B = C = 2 6 8 0 5 6 -1 5 7 2 a. Find the…

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Q: Give an example of a 3 × 3 matrix with real inputs that is not similar to a matrix diagonal

A: A matrix is said to be a diagonalisable  if it is similar to a diagonal matrix. Therefore we need to…

Q: Consider the matrix A = Calculate a22 = 8 5 d n -( :-(29 766 b f 468 h с Calculate 932 = a e

A: It is provided that: A=852766468·dngbfahce. We need to calculate a22, a32.

Q: If A and B are similar, then there exists a matrix P such that Bk = p-1akp. Use this fact to find…

A: The product of two matrices can be defined as follows. abcdefgh=ae+bgaf+bhce+dgcf+dh For any…

Q: the matrix is supposed to be 3x4

A: Here in the solution the echolon form is of form 4x2 but the matrix should be 3x4.  Given vectors…

Q: Determine the order of the following matrix  (In the attached matrix)

A: The order of a matrix is given as, order of a matrix= [No of rows × No of columns]