[1 B = 2 |0 2 0 6 4] 5 A = |1 4 2 1 2 3 7 -3 5

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A: Given matrices, A=2310,B=1-101 The main objective is to find the matrix product.

Q: (2) Determine all the real numbers a, b, c for which the matrix a 0 b 0 C is not diagonalizable.

A: The given problem is to determine for what values of a,b,c the matrix is not diagonalizable.

Q: use some form of technology to show that the given matrix is nondefective

A: Given : A=ababababa To Show : A is non-defective.

Q: Find the LU factorization of A = A = 9- -4 E -4 That is, write A = LU where L is a lower triangular…

A:

Q: Write the dot product of (1, 4, 5) and (x, y, z) as a matrix multiplication Ax. The matrix A has one…

A: Given, A=145, x=xyz Ax=0

Q: Determine whether or not the matrix A work. = 2 2 2 222 2 2 2 is diagonalizable. Show all details

A:

Q: Using the Elementary Row Operation, Calculate the Upper Triangular Matrix of Matrix B

A:

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

A:

Q: Let A be a 6 × 5 matrix with linearly independent column vectors a1, a2, a3 and whose remaining…

A: (a) it is given that A be a 6×5 matrix with the columns a1, a2, a3, a4, a5 and a4=a1+3a2+a3,…

Q: Find the LU factorization of A = 10 -15 -21 That is, write A = LU where L is a lower triangular…

A: Given: 55108-15-21

Q: Determine whether the following matrix is diagonalizable or not. If yes, diagonalize it; if not,…

A:

Q: Find an LU-factorization of the matrix : 4 1 2 5 1 2. 3 - 7 6 14 16 11 1

A: Recall: LU factorization by using Gaussian Elimination method

Q: Orthogonally diagonalize the matrix 1 2 2 -2

A: Given,     122-2

Q: The matrix X1 X = is called a vector.

A: We have to find

Q: Find ATA for the matrix. Show that this product is symmetric.

A: The transpose of matrix A is,

Q: If A is a square matrix such that A = A1, then A must be equal to either the identity matrix I or…

A:

Q: Find two non zero matrices A and B such that AB = 0. %3|

A: Find the two matrix which satisfy the given condition

Q: Let A, B be 4 x 4 matrices. Find two matrices so that rank(A) = rank(B) = 2 and rank(AB) = 1. A = B…

A:

Q: 5 3 [B] -5 -6 i.e. write A = LU where L is a lower triangular matrix with 1's on the diagonal, and U…

A:

Q: Factor A into a product of elementary matrices. =[21] A=

A: Given matrix is  A = 1121                Apply the row operator R2 → R2 -2 R1 then we get…