4. Let A € Rnxn, u, v € Rn. Compute the inverse of A = 1 + uv¹. Hint: try a matrix I-auvT with a R to be determined. What constraint must u and v satisfy for the inverse to exist?

Q: Let A be an nxn matrix and B= A+ I, where / is the identity matrix, then it is possible for A and B…

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Q: [1 A = 7 3 9 13 15 5 11 17]

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Q: 0 5 Let A= 4. diagonalizable matrix( A-XDX), then X and D are: 1 Select one: a. -5 X= -5 0 4 0. b.…

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Q: Let A be an m × n matrix. Show that A is row equivalent to O if and only if A = O .

A: Consider the given information as A be an n×nmatrix

Q: Give an example of a matrix M where MMT and MTM are not equal matrices.

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Q: Let (A-2)-1- where / is the identity matrix,then A= Select one: a. 0 3 7 3 2 2 3 3 REDMI NOTE 8 PRO…

A: Explanation of the answer is as follows

Q: Suppose that A= det A-XI4 = 0. 42 0 4 02 -1 0 0033 04 0 7 . Find the eigenvalues of A, i.e. the A…

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Q: 9. A = -2 2

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Q: om: A is a matrix such that A2 + 5A 10. Show that A is invertible and A-1 = A + 51.

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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: Q5) Check whether the following matrix is diagonalizable or not. 7 -3 A = -9 -2 3 18 -8,

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Q: 5. Determine the value of W, X, Y and Z for the given matrix and its inverse -1 -4 B = X |-5 Y 6 7 Z…

A: Please see the explanation below

Q: Find all real numbers a, b for which the matrix A nalizable in R. = ( 1] is diago-

A: We have to find all real numbers  for which the matrix  is diagonalizable in

Q: If %3D 1- C What me matrix of An11n5 a positive inverse integers).

A: If we know how to inverse a matrix process we can solve the above question

Q: Let I be the 2 x 2 identity matrix. What is det (-41)?

A: The given data is:  I be the 2×2 identity matrix  To find det-4I Given:  I be the 2×2 I=1001

Q: Consider the matrix B given by where 2 3 23-3 3 -4 2 -1 0 0 det (A₁) + 4 - 3 5 -5 -4 . Then det (B)…

A: We find the determinant of a matrix by expanding with respect to any row or column. By taking sum of…

Q: 9. A = -2 2

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Q: 2. Diagonalize the matrix: 1 0 -2 1 1 1 -1

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Q: the acdjainbaf square of As of 2.

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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.