4. Compute (A-1) and (A-I)°, where A is a square matrix and I is the identity matrix

Q: 1. Let, A = -1 21 Find the matrix -5A3 + 2A? + 4A + 512. 9 21

A: Given: A=-1292 Determine A3. A3=-1292-1292-1292=192922-1292=-14218962

Q: Find A by transforming the columns of the identity matrix, e, and ez. 1 0 1 12 0 1 e1 e2 1 Reflect…

A: The transformation matrix A is, 0 1 1 0

Q: -2 6. What is the diagonal matrix Find an orthogonal matrix Q that diagonalizes A = 6. A?

A:

Q: Find the transpose of matrix A A = 4 0 -6 3 -8 1

A: Matrix transpose

Q: Let A be an n × n matrix. Is it possible for A2+I = O in the case where n is odd? Answer the same…

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Q: Calculate BA where A and B are the following non-square matrices: 1 3 1 0 3 A = B = 2 %3D 2 1 5 2

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Q: 1. Consider the matrices A = G ), B = (,) and C= (-1 0 5) (a) Evaluate (AB)C and A(BC). Check that…

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Q: 3 Compute x using the vectors w = -4 and x = 2 - 5 2 x = (Simplify your answer. Type an integer or…

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Q: LOT A = [ ₁ - 10 Let 1 D= 0 1 1 -1 1 Construct a 4x2 matrix D, using only 1 and 0 as entries, such…

A:

Q: 3 4 Let X and Y in the set of 2 × 2 matrices, M22. %3D -11 2 3 Determine whether A = or B are in…

A: Given  X=2-121, Y=34-11 and A=0-1181, B=2312

Q: Let. A=[3,2,1;4,2,3;-2,1,-3] Convert the matrix unit using elementary operations

A:

Q: Evaluate det (A) for the matrix A=($ 2).

A: Given matrix is A=8254 The task is to find the inverse of the given matrix.

Q: 1 Let the matrix A= Find A2 5A + 312x2. - Select one: a.

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Q: Let A and B be 2 × 2 matrices. The equation (A – B)(A+B) = A² – B² is correct. (A True B False

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Q: Decide whether the matrix -7 1 4 A = -12 1 8 -10 1 7, is diagonalizable over R. If it is,…

A: -714-1218-1017

Q: 1 2 Let (A – 21)-1=| 3 4 where / is the identity matrix,then A = Select one: а. 0 3 7 3 2 2 b. 1 3 3…

A: A-2I-1=1234 Taking Inverse both sides, we get…

Q: The rank of the matrix A Number 1 2 3 4 5 6 IS

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: Find the trace of the matrix 3 A 2 -2 tr(A)

A: The given matrix is A=-332-2. Find the trace of the matrix A as follows.

Q: Is the following matrix diagonalizable¹? 3 B=0 0 -3 1] 3 1 0 3

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Q: B) find the transpose of the matrix A C = 3 2

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Q: Find a matrix A such that 2A-3B+5C=0 -2 Where B= 2 0 3 1 4 [2 0 -2 andC = 7 1 6

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Q: Find the meet of the zero-one matrices A and B if A=⎛⎝⎜110010101⎞⎠⎟ and B=⎛⎝⎜011100111⎞⎠⎟.

A: MUST KNOW: In a zero -one matrix all elements are either 0 or 1 and represent false and true…

Q: Determine the matrix if it is a linear combination of a b 3 11 [-1 5 9 4 1 3 4 6 11 A. a = 5; b = -7…

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Q: Let A and B be square matrices of order 2 such thatA=-7 and B=4.What is (ABY"| %3D %3D

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Q: Find all a and B >0 so that the matrix B = 23 6 2 is diagonally dominant;

A: A square matrix is diagonally dominant if   for .

Q: side is the the (a) 1 (b) 3 Assume that (2,3, =) " where the left-hand product of two matrices. If…

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Q: Let A = [₁1] Find all 2x2 matrices B st AB=BA

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Q: If A is an nxn invertible matrix, then Select one: -1 a. A"= det(A)/adj(A) -1 b. A"=…

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Q: Express as a single matrix.

A: Consider the product of matrices 0-2341220382-7 Observe that the order of first matrix is 2x3 and…

Q: 3. Determine the last column so that the resulting matrix is an orthogonal matrix: 1/√2 1/√2 0 1/√6…

A: The given matrix is .To determine the elements of the last column so that the matrix is orthogonal.