Find E₁ = 1 0 0 [⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ 1 0 0 →>> 1 0 0 → 18 -6 O 0 0 E₂E₁ A [18 -6 6 0 0 1 A 18 -6 1 0 0 0 0 1 I = E₂ = [18 -6 0 0 0 E₁ A Write A as a product A = · E₁¹E₂¹Е¹Е¹ of elementary matrices: , E3 = 1 0 -3 1 0 0 0 1 E3 E₂ E₁ A E4= 0 0 1 0 0 01 EEE₂E₁ A = I

Q: Find the inverse of the given matrix, if it exists: A = - OA is not invertible. O A-¹ = O A-¹ A-¹ ||…

A: Given,  .We know,

Q: Let A and B be A = 2 0 1 -3 2 1 -2 -1 0 E = B = -2 -1 0 0 2 1 2 1-3 Find an elementary matrix E such…

A:

Q: Find the power of A for the matrix A = A19 000o 100 700 o

A: The given matrix A isA=-100000-100000-1000001000001To find the power of matrix A19.

Q: 12. Consider the matrices O 1 0 [o 1 A B = 1 0 1 1 0 1 0 1 0 0 07 O 10 0 0 0 0 1 0 1 0 0 1 [o 0 0 1…

A:

Q: Compute the adjugate of A = the cofactor matrix of A. -2 0 3 5 -2 -2 1 2 noting that adj(A) =…

A:

Q: 1 0 3 -2 -1 3 3 2 1 2 Let A and B be A = 2 1 B = -2 -1 3 2 1 0 Find an elementary matrix E such that…

A:

Q: Q3: Write the following matrices in the form B = U A where U is the product of elementary matrices…

A: Given matrix is  A=40-2-301210               (i) Let us consider the augmented matrix AI Now,…

Q: Consider the matrix B = = the matrix B? 0 0 0 1 1 0 Which of the following represents a…

A: B=-1100001010;eigenvalues are (-11-λ)(λ2-1)=0gives, λ=-11,-1,1.

Q: Let A, B and C = A = 1 2 -37 01 2, B = L-1 2 0. -1 2 0 1 1 2 07 2, and C= -3 04-3 0 1 2 -1 2 0

A: The given matrices are:

Q: Го 1 as a product X = E,E2E3 of elementary matrices. Write X 5 -40 E E2 E3 || ||

A: Columns operation to a matrix is equivalent to multiplication by corresponding elementary matrix at…

Q: Express the matrix and its inverse as products of elementary matrices. 10-6 i 7 1 A = 0 9 00 The…

A: Let us go by one option by one to find the solution. First option:…

Q: [1 1 1 1 1 0 1 1 1 1 7. Consider the upper triangular matrix 0 0 1 1 1 Find its inverse. 0 0 0 1 1…

A:

Q: Let the following matrices be: [1 -1 [3 [1 2 3 A=32²¹ B = 2 -1 = √ P= C c = [3²₂ ² ³] D = 1 1 L3 2 3…

A:

Q: Find the determinant and inverse of the matrix A 1000000000 20 000000 0 2 3000000 () 2 3 4 00000 0…

A:

Q: Consider the elementary matrices below. 1 For A = 0 0 det (A) = 1 0 0 For B = 0 k 0 0 0 1 det (B) =…

A:

Q: [10 -3] 2. Consider the matrix A= 0 1 0 00 3 (a) Find elementary matrices E₁ and E2 such that E₂E₁A…

A:

Q: An invertible matrix A can be written as a product of elementary matrices as follows: 2 0 0 1 0 1 0…

A: