-1 1. The inverse of a nonsingular matrix A is the matrix 0 0 Which of the following 1 -1 0. matrices is equal to A? (1 100) 1 -1 -1 1 -1 0 (1 1 11 0110 (a) 0011 -1 -1 (c) 1 -1 1 01 (b) 01 0111 (d) 0011 -- 1 -1 000 1 00 0 1

Q: Show that matrices A and B = are inverses of each 2 3 other.

A: See the details solution in below

Q: Let (13). Which of the following matrices is a solution X of the equation O O 4 = (1²₂3) A O and B =…

A: Topic = Matrix

Q: Find inverse of the following matrix ? 1 -1 1 1 1 г1 1 1 1/6 5 -1 6 Li 6 4 -1 1/6 1 1 Option 1…

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Q: what value is in the 2nd row 2nd column of V x 3Q [3 4 -31 Г2 3 V = |0 -1 Q = 18 5 %3D 12 -2 1 1 5…

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Q: 1 = [₂ 우리 -7 35 Write X = = as a product X = E₁E₂E3 of elementary matrices. --188--188-188) = =

A: Given X=01-735 X=E1E2E3

Q: Express the inverse of the following matrix (assuming it exists) as a matrix containing expressions…

A: Solution : Given that the matrix 118-16-1k0-2-24

Q: 4 -1 If A = 3 3 and B = -3 find 1 -1 -2 A ·B, if possible.

A: For the multiplication , the number of column of first matrix must equal to the number of row of…

Q: ; = \57 -77 -80/ В — 42 72 75 4 288 -82 -1 4 а. Find B-1

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Q: Find the matrix inverse of B = 3 -7 == 1 1 -4 13 1 1 B B-1 B-1 = = 13 -13 [1 4 01 1 1 1 1 1 7 1 -8 4…

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Q: Consider the following 2 x 2 matrix -5 A = 3. For any matrix, we have a clear understanding of some…

A: Given the matrix: A=−536−2 (a) To calculate the eigenvalues and eigenvectors of A.

Q: iagonalize the following matrix: 21 4 1-4 31 -1 24001₁ 111-12 C - 0

A: A matrix is diagonalizable if A.m. of each eigen value = g.m. of corresponding eigen value

Q: (15) 3. Element (1,2) of the inverse of the matrix is 4 7

A: The given matrix is: A=3547

Q: 3- Find the inverse of the matrix A = and write it as a product of elementary matrices [3 2 1 3 4 00…

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Q: Using the matrices -2 -3 0 D = 1 0 2 1 2 1 compute the following. tr(2E¹-D) = -3 -4 -1 E = tr(2ET -…

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Q: Use the inverse matrices to find (AB)-1, (AT)-1, and (2A)-¹. 1-2 ----C -1 A-¹ = B-1 -2 5 (a) (AB)-¹…

A: To find:  and .

Q: 13. Find the inverse of the matrix * 1 2 A = -2 -2 5

A: Inverse of matrix is defined only if determinant of matrix is non-zero. A-1=Adj(A)|A| Adj(A) is…

Q: [2 -3 -47 The matrix product 2 4 [0 1 5 1

A: Given : 2-3-4015 . 3-12401

Q: <= [-5 1 is the product X = E₁ E₂E3 of elementary matrices E₁, E2, E3, find -5 35 E₁ = If x= 03-894…

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Q: Find the inverse of the matrix (if it exists). 1 2 7 9. -1 -4 -7 Step 1 1 2 2 A = 9. -1 -4 -7 As the…

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Q: matrix Dr. Buchmann asks the class to calculate the inverse of the following One of your classmates…

A: The given matrix is, 1021-12310 The inverse can be obtained by: The inverse can be obtained by the…

Q: 1. Consider the matrices 0 4₁-(13), 1 3)₁ 4₂2 - ( -8 -2) ₁4₁ = (3-2). 0 1 3 -5 -4 A₁-(3) -4 0 and A4…

A: We have to match the given matrix with the function represented in the graph

Q: 9. Find the inverse of the matrix 0 0 k₁ 0 0 k, 0 3 0 0 k₁ 0 0 k₂ 0 0

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Q: Q5: Write the following as a product of elementary matrices. 8 00 1 1 -2 (а) |0 -3 1 0] 0 2 0 5 0 20…

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Q: 2. Perform the indicated operations with the given matrices. Be sure to show and explain all work.…

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Q: Use the inverse matrices to find (AB)¯¹, (A7)¯¹, and (24)¯¹. 1 1 1 2 2 1 3 1 244 A-1 = (a) -2 1 3 2…

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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: Matrices A and B are given as 4-1 (1 2 3 7 A=-1 0 4 and B=-1 -1 2 - 0 2 2) 1 1 -1 1 (a) Find the…

A: The order of a matrix is defined as m×n, where m is the number of rows and n is the number of…