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

Q: Determine whether the matrix is orthogonally diagonalizable.

A:

Q: The reduced row echelon form of the matrix A is I3 . Describe all possible matrices A.

A: Consider the reduced row echelon form of a matrix A is I3. We need to determine all possible…

Q: Determine whether the matrix is elementary. If it is, state the elementary row operation used to…

A: A square matrix of order n is elementary matrix if it is obtained from the identity matrix In by a…

Q: If matrix A is full row-rank, then use SVD to prove that the pseudo inverse is given by A+ =…

A: According to null matrix singular decomposition, a matrix A can be written as, A=U∑V* Then use the…

Q: Find the basis of row space of the matrix A given in the attached image . Please answer quickly .

A: A=1231337638-2-5-30326024351312R2⇒R2-3R1, R3⇒R3+2R1, R4⇒R4-2R1,…

Q: Calculate the matrix P, the matrix D, det(P), and the matrix P! Is the matrix A2 diagonalizable?…

A: Solution:-

Q: Determine whether the matrix is elementary. If it is, state the elementary row operation used to…

A:

Q: Create a world transform matrix that translates by 3, 5, 7 and rotates 80° about the x-axis.

A: Detailed explanation mentioned below

Q: Define Triangular matrix ?

A:

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

A:

Q: Find a sequence of elementary matrices whose product is the given nonsingular matrix.

A:

Q: Find a sequence of elementary matrices whose product is the nonsingular matrix

A: Consider the given nonsingular matrix: Here the objective is to find the elementary matrix whose…

Q: Consider the matrix

A: Given, the matrix                A=0-3-1020233 And the eigenvalues of A are λ=1, and λ=2.

Q: Give an example of two matrices A and B such that BA exists, but AB is undefined. Explain why your…

A: Finding the product of two matrices is only possible when the inner dimensions are the same, meaning…

Q: When the inverse of a matrix is multiplied by the original matrix, it produces the: A. matrix of…

A:

Q: Construct an example of an 4×5 matrix with rank 1:

A: We need to find a matrix with rank 1.

Q: Consider a 3 x 4 matrix A in reduced row echelon form. What can you say about the image of A?…

A: We have say about the subspace Ab where b from R4

Q: A row matrix and a column matrix are also called  ______________ .

A:

Q: Find the indicated Matrix, if possible. Show and explain your work. |ЗА +В

A: A=4-472B=-243-73A+B = 34-472+-243-7

Q: (a) Find the matrix A so that AB=C, where а, а, а, B= b, b, b, & C= b, b, b, a, az az (2 rows are…

A: Given B=a1a2a3b1b2b3c1c2c3 now using row operation R1↔R3 ~c1c2c3b1b2b3a1a2a3

Q: Use (ii) of the rank of a matrix by row reduction theorem to find the rank of the given matrix. (?…

A: The given matrix is 7-113.

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: What is orthogonal and normal matrix? Can every orthogonal matrix be normal matrix and vice versa.

A: The commutative property of matrices can be stated as . The matrix obtained by interchanging the…

Q: Show that the matrix below does not have an LU-factorization.

A:

Q: Which matrix is not similar to

A: Given that Matrix- X= 011112-12114, A=21-121011114,B=01111411-122, C=0-111-12121-14, D=100030003,…

Q: When a matrix is multiplied by a scalar k, then every entry of the matrix is multiplied by k.  True…

A: It is TRUE by definition which is given below.

Q: nto a matrix this is call

A: Introduction: A simple labeled graph's adjacency matrix is matrix A with A[[i,j]] or 0 depending on…

Q: Which one of the following matrix is a Lower triangular matrix?

A: A triangular matrix is a special kind of square matrix in linear algebra.    Find: Which one of the…

Q: If A is a symmetric matrix, does it follow that the transpose of matrix A is also symmetric?…

A:

Q: Find the LU-factorization of the matrix. (Your L matrix must be unit diagonal.) 10

A:

Q: Construct a 4x4 matrix to rotate 60° about the z-axis and rotate 30° about the x-axis and then…

A: Here we need to find out the 4x4 matrix to rotate 60 degrees to z axis and 30 degrees to x axis also…

Q: Let A be an m × n matrix. Explain why the matrix multiplications ATA and AAT are possible.

A:

Q: Which of the following is a lower triangular matrix?

A: GIVEN - MATRICES ARE GIVEN TO FIND - LOWER TRIANGULAR MATRIX  CONCEPT - IN LOWER TRIANGULAR MATRIX…

Q: Can arrowhead matrix be similar to a tridiagonal matrix?

A: An arrowhead matrix is one that is a square matrix with zero entries everywhere except on the…

Q: Is it true that Every identity matrix is a diagonal matrix? explain a reason?

A: A square matrix B=[bij] of order n is a diagonal matrix , if all its non-diagonal elements are 0,…

Q: Consider the matrix A =

A: Given, the matrix                       A=420040004

Q: Let A be an m xn matrix. Explain why the matrix ATA is symmetric.

A: A square matrix is symmetric if  A^T = A

Q: Let A be a 3x6 matrix of rank 3 then nullity of A equal 0 Select one: True False

A:

Q: Show that (-A) T= -A", where A is a 2x3 type matrix (you can show it on the example)

A: Let matrix A=abcdef. Order of matrix A is 2×3. ⇒-A=-a-b-c-d-e-f ⇒(-A)T=-a-d-b-e-c-f  →Result 1

Q: Construct a matrix with the required property or explain why this is impossible (a) Row space…

A: Given row space is, 4,7,5 and 2,3,-5 And the null space is, 2,1,3

Q: Find LU factorization of the matrix A =

A: In this question, we apply Gauss's elimination method to find the A=LU form. A is given by…

Q: What is a column matrix?

A: Definition of column matrix – A vector which is represented with a list of number is called a column…

Q: singular

A:

Q: Explain why the row vectors of a 9 x 6 matrix form a linearly dependent set. (Assume all matrix…

A:

Q: Find an LU-factorization of the matrix.

A: Let A be the matrix -31120 Take the elementary matrix and multiply it with the matrix A to obtain…

Q: A and B are two sequar upper triangular matrix then ove that the JAB| is equal the product of its…

A: Topic:- matrix algebra

Q: of the matrix

A:

Q: Show that the matrix is not diagonalizable.

A: Given matrix The characteristic polynomial of is the only Eigen- values are

Q: Find a sequence of elementary matrices whose product is the given nonsingular matrix.

A: