A = G I 1 1 Find the matrices P and D that orthogonally diagonalize the matrix A such that A = PDPT

Q: Find an LU factorization for the matrix A = -2 3 4 1 -3 0 2 3-2, Verify that LU = A.

A:

Q: let Amxn matrix , c scalar If cA=0, then Select one: a. c=0 and A=0 b. c=0 or A=0 C. C0 or A=0

A: WE have to check the meaning of cA=0.

Q: Find the rank of the matrices where x, y, and z are distinct.

A: We have to find the rank of the matrix

Q: Find an orthogonal diagonalization for A = 1 0 1 0 1 -1 (1888) -1 1 i.e. find an orthogonal matrix U…

A:

Q: If A is an orthogonal matrix and c is a scalar, then cA is orthogonal. True or False?

A: We have given a statement about orthogonal matrix and we have to state if it is true or false. For…

Q: Find the change-of-coordinates matrix from Bto the standard basis in Rn.

A:

Q: Let A be an m × n matrix and r, s E R two scalars. Show the property that (r + s)A = rA + sA.

A:

Q: Let y = 1 2 and u= 4 2 Write y as the sum of a vector in Span (u) and a vector orthogonal to u.…

A: Introduction: The projection of a vector onto another vector is the application of dot product. This…

Q: Find the standard matrix of the linear operator M : R → R³ that first rotates all vectors…

A:

Q: Orthogonally diagonalize the matrix. A = PDPT, where P A = 2 0 0 0 1 -1 and D 0 −1 1

A:

Q: 10. B =

A:

Q: Find all real numbers a, b for which the matrix A nalizable in R. = ( 1] is diago-

A: We have to find all real numbers  for which the matrix  is diagonalizable in

Q: Let A be an m x n matrix and let b and c be column vectors with n components. Express the dot…

A: Answer :

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: Consider the matrix B given by 0 0 0 B = 1 0 0 0 1 0 Show that B3 = 0. Also, compute for the product…

A:

Q: -2 11 and vector b = -5 Is b in the Let the matrix A = 3 -2

A:

Q: Let y= Write y as the sum of two orthogonal vectors, one in Span (u) and one orthogonal to u. and u=…

A:

Q: Find the matrix P that transforms the matrix into diagonal. Make the matrix A diagonal using P.

A:

Q: certain factory using x do-dads and y widgets per hour will produce: T(x, y)  =  60x2 + y…

A: