2-1 1 Write M1 0as a product of elementary matrices and find the inverse of M.
1 3 1. Find the inverse using elementary matrices A 2-3 Find a sequence of elementary matrices whose product is the given matrix. 2-H 4 3 Find an LU-factorization. 3 01 6 1 1 3. -3 1 3 1. Find the inverse using elementary matrices A 2-3 Find a sequence of elementary matrices whose product is the given matrix. 2-H 4 3 Find an LU-factorization. 3 01 6 1 1 3. -3 1
Let A = [111] 1 2 3. Write A as the product of elementary matrices. (1 4 5
2. (15 pts; 8,7) Let (a) Find the inverse of the matrix X. (b) Write X-1 as a product of elementary matrices. (You only need to give the list of elementary matrices in the right order. There is no need to multiply them out. )
[10 0110 01 cool Use elementary matrices to find the inverse of A = 0 1 0 || 01b || 0 1 0 , C+0. A-1 = Loa illo o illooi]
2. Write the product of a sequence of elementary matrices which equals the given non-singular matrix: [ 11 2 3 3. Given the matrix A = 01 - write the matrix of minors of A, the matrix of cofactors of A, the adjoint 12 2 2 matrix of A, and use the adjoint of A, to write the inverse of A. 4. Determine whether the set of vectors is linearly dependent or linearly independent. Justify your answer. 13
please help.! Use elementary matrices to find the inverse of A = 1 0 0 0 1 0 0 a 1 1 0 0 0 1 b с оо 0 1 0 0 0 1 C+0. 4-1 0 0 1
4. For the given elementary row operation e, find its inverse operation e-1 and the elementary matrices associated with e and e-1, e = R 2 R, the e: Add - 2 times the second row to the third row of 3 x 3 matrices.
9. s: ['o] Write s' as the product of elementary matrices, that is, matrices from the identity matrix through a single row are obtained that operation
Prove that type 1 elementary matrix is a product of type 2 and 3 elementary matrices
Show that is invertible by representing A as a product of elementary matrices. Then, represent A^-1 as a product of elementary matrices ГО 0 5 tA = 0 1 0 1 -3 00