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

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

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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

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

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

A: The transpose of matrix A is,

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…

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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…

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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…