8. Transform the augmented matrix M to triangular matrix. M=4 -2 3 2 -1 L2 1 -5 -1 4 -1 -1 4.33 3.33 (A) 0 0.67 (B) 0 -1 6.50 12.0 -1 0 0.67 -4.33 3.33 0,7 Ri-(RX) Riz 0₁-6.50 12.0 -1 -1 (C) છે. 0 -0.67 4.33 0-0.67 -4.33 -3.33 (3-1-14, lo 0 -6.50 -12.01 201² + 2001 2x142 1 300309 -3.33 0 6.50 -12.0 (D) Els

Q: Is the matrix A = 1|2 TILL -1 1 1 -1 -1 1 1 -1 1 1 -1 is orthogonal matrix.

A:

Q: X= 3 -2 0 0 -2 1 1 0 +S 1 2 1 Find a Basis for Row B of this Matrix

A: Given:To find: A Basis for Row B of this Matrix.The row space (Row B) of a matrix is the set of all…

Q: B= 2 Compute each matrix sum or product if it is defined. If an expression is undefined, explain…

A: For solving the given problem:

Q: What are L and D (the diagonal pivot matrix) for this matrix A? What is U in A = LU and what is the…

A:

Q: 2 1 -1 3 1 9. Calculate the rank of the matrix P = | 2 1 2 0 3 1 1 1 |-1 -5 -3 -7 3|

A: P=210-131212003111-1-5-3-73

Q: 2. The matrix product G o) ( (5 3 is equal to 3 2 5 3 (: ) 3 5

A:

Q: 11 A square matrix A is orthogonal if AA" = 1. What properties must be possessed by the columns of…

A: Given:

Q: snip

A: The determinant of an orthogonal matrix is always one. Therefore to prove that the given matrix,…

Q: Q14: Create a model using appropriate block to concatenate vertically the matrices A, B, and C…

A:

Q: Given the matrix [: 1 2 A 2 5 -4 -1 -4 determine the square-root matrix A/2. Also, determine A-1/2…

A: The following steps are used to find the solution. To obtain the diagonalization of the matrix A,…

Q: Let B=(b₁,b₂), C=(C₁,C₂), be bases for R² b₁ = (-5,-3), b₂ =(3,2), C₁=(1,3), C₂ = (1,2) Find the…

A:

Q: 15. Diagonalize the matrix A = 11 expressing it similar to a diagonal matrix D. "

A:

Q: 16 21 Let A = |-14 -19 Find two different diagonal matrices D and the corresponding matrix S such…

A: Given matrix is A=1621-14-19 We find the eigenvectors. For eigenvalues, A-λI=0⇒1621-14-19-λ…

Q: Diagonalize A the matrix A. -27 2 3 4 3+ i√5 0 0 [S+W³² $ "VE] [3+1 0 3-i√√5 i√5] 0 0 [-³+1 0 O…

A:

Q: 1 -4-2) s) Let A := -2 3 2 4 -8-5 (a) Show that A is diagonalizable and find a nonsingular P such…

A:

Q: 4. Diagonalize the matrix, if possible. That is, find an invertible matrix P and a diagonal matrix D…

A:

Q: 3) What does the matrix 1 0 0 0 1 0 001 represent?

A: The matrix represents the identity matrix of size 3x3.Explanation:In the given, the matrix…

Q: 4 -1 5 -2 where I is the identity matrix. Let A = Compute 31 – A and (31)A,

A: To compute the following matrix

Q: Let 3 A = -1 -1 3 -1 -1 3 (a) Find a matrix P that orthogonally diagonalizes A. (b) Find B = P-¹AP…

A:

Q: Let A = (a) Find a matrix P that orthogonally diagonalizes A. (b) Find B = P-¹AP using the (correct)…

A: Given: A matrix A=2-1-1-12-1-1-12 To find:  a matrix P that orthogonally diagonalizes A. B=P-1AP

Q: 1 0 2 -2 1 –1 3 find cofactor of matrix .a -5 -3 -6 6. 3 7 -2 -1 -2 .b 6. -6 -3 -7 2 .C -5 -6 -2 3 1…

A: Cofactor of a particular element of in Matrix can be obtained by using the particular sign and…

Q: Which of the following is the matrix C that satisfies the equality (CT +312) -1 3 (a) 2 -5 (:) 5 -2…

A: First take inverse on both sides of matrix equation CT+3I2-1=2714. CT+3I2-1=2714CT+3I2-1-1=2714-1…

Q: ₁ = [ 11, 11] Find a nonsingular matrix P such that PAP is diagonal where A = -5 P = = [00] OP - [3…

A:

Q: A matrix A has a LU factorization if A = LU where L is a lower triangular matrix (a matrix with…

A: L=100-110201  U=43-50-22002LU=100-110201 43-50-22002     =43-5-4-5786-8     =A

Q: (12) Use the adjoint of matrix to find the third row fourth column element of the inverse of -1 1 4)…

A: Consider the given matrix as A=0-11432-21040110-11. The inverse of the matrix A is given by…

Q: 2. (5pts) Find the LU factorization of the following matrix. 1 -3-5 -3 -1 -5 8 A= 4 2 -5-7 -2 -4 7 5

A: Step 1:Step 2:Step 3:Step 4:

Q: T [2 1 -1 A + 1 = |0 5 2 4 3 8 [8 07 (b) 34" ЗАТ + 2

A:

Q: If matrix A (mxn) has full rank, and I multiply it by its conjugate transpose A*. In other words,…

A: We will give a counter example that will prove this statement wrong.