2 2 4 -41 A = 0 -2 0 4 -2 6 Find the orthogonal matrix and upper triangular matrix in matrix A using QR method.

Q: Find a basis for the space of 2 × 2 lower triangular matrices. Basis =

A:

Q: Define bidiagonal matrix.

A:

Q: elementary

A:

Q: Derive a composite matrix that transforms a square ABCD with coordinates A(0,0), B(1,0), C(1,1),…

A: As per the question we have to find the affine transform which will transform the points A,B,C,D…

Q: why is the matrix like that?

A:

Q: What is the Triangular matrix?

A: What is the Triangular matrix?

Q: of a matrix is the factorization of a given square matrix into two triangular matrices.

A:

Q: rmine which of the following matrices is orthogonal. V3 1 (a) (b) V3 0. V3 1- [1 -1 (c) 1 -1 (d) (e)…

A:

Q: Explain why a symmetric matrix with real entries can't have complex eigenvalues.

A:

Q: Explain  column vector of m x 1 matrix?

A:

Q: Explain row vector in a 1 x n matrix?

A: To analyze row vector in a 1 × n matrix.

Q: Find the characteristics equation of the matrix [1 2 A -2 -1 01 and hence find A-.

A:

Q: A diagonal matrix is a square matrix that if rotated to give the original matrix 1- right 2-Error

A: a diagonal matrix is a matrix in which the entries outside the main diagonal are all zero; the term…

Q: 10 Let A = -2 1 B (Enter a matrix like -3 -6 -87 Find the product of any two of the matrices. The…

A: The rule of order (or dimension) of matrices for matrix multiplication is as follows:For two…

Q: 2 -2/2 2/2 , show that A and B satisfy 2 Q#5: If A= and B 2 commutative property with respect matrix…

A: Given  A=2-2222  and  B=222-22. We have to show that  AB=BA.

Q: the matrix A = and explain why or why not this matrix is diagonalizable

A: In the given question, concept of diagonalizable matrix is applied. Diagonalizable Matrix Any square…

Q: Consider A = 21 2 1 3 -1 -3 4 Convert A to an upper triangular matrix U by using Gaussian…

A:

Q: Express the matrix = [₁,1] - 9 and its inverse as a product of two elementary matrices. A =

A:

Q: 6. In a "full" linear algebra course, students learn a process known as LU factorization. This…

A:

Q: Orthogonally diagonalize the matrix 1 2 2 -2

A: Given,     122-2

Q: -4 -4 -16] A = 16 -18 -56 -4 6 -51 That is, write A = LDU where L is a lower triangular matrix with…

A: We can make some row transformations to find the upper triangular matrix prime U', then from this,…

Q: True or False The identity matrix has properties similar tothose of the real number 1.

A: We have to say that the given statement is true or false: The identity matrix has properties similar…

Q: describe how LU factorization of a nonsingular matrix B can be found using Doolittle’s method.

A:

Q: How do I know if I can invert a matrix or not? What is a square matrix?

A: Ans(i):

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: Explain the mandatory conditions for the addition of two matrices?

A:

Q: Consider the elementary matrix 1 0 -- a 2 1 Describe the action of this matrix from the left in…

A: Here →A=(1,2),→B=(0,1) The vectors A, B are linearly dependent if their determinant is zero. i.e.…

Q: If A + 0 and B+ 0 are square matrices of the same order, then AB + 0.

A: