Let A be the following matrix: A = - -1 2 -1 0 0 0 -3 -2 0 3 -1 -1 1 Find a QR factorization of A. 0 0 0 A = QR = 0 0 0 0 0 0 0 0 0

Q: Find bases for row(A) and col(A) in the given matrix using AT. row (A) col(A) A = 1 -3 1 0 1 3 1 -4…

A:

Q: Find the inverse of the matrix A if it exist 1 0 1 011 1 1 0 A =

A:

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

A:

Q: Find an orthogonal basis of the column space of the following matrix: 1 -5 6 4 -1 A = -4 -1 -13 9 2…

A:

Q: Find matrices P, D and P-1 that diagonalize matrix A, where A = P = D= P-1 20 0 -11 -2 -3 -30 -1

A:

Q: = 1 -2 2 00 0 -1 0 0 -1

A: Given that A=

Q: Let B = and C = {c1,c2} be bases for R?. Find the change-of-coordinates matrix from B to C and the…

A: The bases B and C for ℝ2 is given as follows: B=b1, b2=-12, 1-1C=c1, c2=12, 11 We are asked to find…

Q: Diagonalize the matrix A || -1 −1 1 4 16 by writing it as A = PDP-¹

A:

Q: Use the reduced echelon form of the matrix A shown below to find the factorization A = CR. 1 2 0 11…

A:

Q: Find a QR factorization of the matrix [1, 2, 4] [-1, -3, -3] [0, 1, 1] [-1, -1, -1] [1, 2, 4]

A: Given matrixA=[124−1−3−3011−1−1−1124]A=QR, where Q is 5×3 matrix with orthonormal Columns and R is…

Q: A = 4 -3 -5 1 8 52 2 3 -1

A: