If A and B are similar, then there exists a matrix P such that B = PAP. Use this fact to fi -2 2 -3 2 P 3D -2 1 A = 1-2 -6 5 2-3

Q: Find the LU factorization of -1 -5 -4 A = -5 -26 -18 That is, write A = LU where L is a lower…

A:

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

A:

Q: Find the nullspace of the matrix

A: By definition , nullspace of a matrix A is the collection of all vectors x such that Ax=0 Given…

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

A:

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: If A is a 4 X 2 matrix, explain why the rows of A must be linearly dependent.

A: If A is a 4 x 2 matrix, then it has 4 rows and 2 columns. Each row can be thought of as a vector in…

Q: 32x+y -1 526 -1 x+4y 10

A:

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

A:

Q: Compute the adjugate of the following matrix: -7 3 -6 0 0 0 0 0 0 0 0 0 adj -7 0 -2 %3D | 2 -8 4

A:

Q: Find an invertible matrix X and a diagonal matrix D such that X-1 AX = D. You don't need to compute…

A: Thanks for the question :)And your upvote will be really appreciable ;)

Q: 8, a13 -9, a12 = -1, a23 4, a11 = -5, a21 10. %D Write a 2 x 3 matrix A with the following entries:…

A: For a n×m matrix, the number of rows is equal to n and the number of columns is equal to m. The…

Q: Find the matrix A if 4 1     −1 3A =  3 4     1 2. A =

A:

Q: (-1 7 -5 7. Let A = -4 11 -6). Diagonalize A if possible or explain why the matrix A is not -4 8 -3.…

A:

Q: If D = diag(2, -1, 0) and M is a 3 x 3 matrix, describe how the rows and/or columns of DM are…

A: Given thatdiag and M is 3×3 matrixWe have to describe how the rows and/or columns of DM related to…

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: Show that A = P-¹ = 2 -1 -5 2 -2 -2 0 1 -4 and B = 3 6 -8 2 2 -4 , P = 4 6 are similar matrices by…

A: Given: and To show: and  are similar matrices by finding an invertible matrix  satisfying

Q: Find the matrix A if 2 1 A = 4 2 %3D -1 3 1 3 B3: A =

A: