Let 1 -2 36 – 18 1 1 0 1 0 A = 0 - 1 0 and P = 0 -1 100 Given that P diagonalizes A, then compute the matrix A2353 i i A2353 i i i

Q: 1 11 [600 Let A= 16 5 and D=0 4 040.Compute AD and DA. Explain how the columns or rows of A. 157 0 0…

A: Here we multiply and check.

Q: Compute the adjugate of the given matrix, and 3 A= 3 1 1 012 The adjugate of the given matrix is adj…

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Q: Compute A² 2A + I. 2 0 1 0 -5 0 5 0 2 NOTE: Write the elements of the matrix exactly. A = -(0 A² -…

A: We have to find the value:A2-2A+IWe can simply calculate matrix multiplication and matrix addition

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

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Q: snip

A: Given, A=abcdD=ad-bc≠0

Q: Find a QR-factorisation of 1 1 -1 1 | 1 1 1 1 0 -

A: The given question is solved below.

Q: [2a11 5a12 Let A = |2a21 5a2 -3a23 2a31 5a32 -3a33 diagonal matrix and neither B or D is equal to…

A: The given matrix isA=2a115a12-3a132a215a22-3a232a315a32-3a33.We have to factorise A into A=BD where…

Q: Determine which matrices are in reduced echelon form and which others are only in echelon form. 0 0…

A: A matrix is said to be in row echelon form if All rows consisting of only zeroes are at the bottom.…

Q: Evaluate the element a23 in the matrix A given by: A where: A = BC and: B = and a12 a13 a11 a23 a21…

A: To evaluate the element a23 in the matrix A given by:A=a11a12a13a21a22a23a31a32a33where:…

Q: The message 22 27 13 15 32 41 26 26 36 51 44 57 45 57 1 1 was encoded with matrix A. Decode the…

A: Given: The encoded message "22 27 13 15 32 41 26 26 36 51 44 57 45 57 1 1" and the matrix A=1213.…

Q: Let A = P = [-25 4 -19 4 4 8 4 8 . Find an orthogonal matrix P with rational entries and a diagonal…

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Q: In AABC, ZA = 31°, sides b 10cm and a = 7.2 cm, then which of the following can be the values for…

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Q: -() --()-() 3 6 3 3 1 2 1 2 1 1 2 1 3 1 2 3 2 2 A = 3 1 2 В C = 4 4 3 4 4 3

A: Claim: We have to find E such that EA=Bi.e. E=BA-1 And F such that, FA=C i.e. F=CA-1 A=121312443then…

Q: Find the LU factorization of A = 10 -15 -21 That is, write A = LU where L is a lower triangular…

A: Given: 55108-15-21

Q: Exercises A. Consider the matrices below: 07 [1 C = 2 [1 A = 2 -11 2 B = 3 -1 7 5 11 5 3 [12 E = |2…

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Q: Find a matrix X such that AX=B 0 6 A = [²2 -B = [1 2 ] 91 L7 8. 4

A: Given that we have to find a matrix  .Obviously order of the matrix  is .Let Now so  ,

Q: A = 2 - 4 4 -2 6-9 7 -3 -1 -10 18 -7

A: Sol

Q: Diagonalize the matrix -3 9 A = -6 18 8 16 6 -18 -16] by writing it as A = PDP-¹

A: Solution:Given that, the matrix A = -398-618166-18-16Now diagonalize the matrix A:

Q: how to solve the following equaiton? e^x = 3x^2.

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Q: Select ALL matrix multiplications that are valid given the following matrices: 1 2 3 2 ·B·-|-·* C =…

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Q: Diagonalize the following matrix, find P and D with A = PDP-¹, then compute A4 for the matrix A = 1…

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Q: -6x2-5x+6.   The two roots of x=_____ and x=_____

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Q: agonalize A and use the diagonal matrix to compute A100

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Q: Find ATA for the matrix. Show that this product is symmetric.

A: The transpose of matrix A is,

Q: Obtain factorizations of the form A = Pt LU for the following matrix. 1 3 4 0 2 6 8 1 -2 1 1 2 1 3 1…

A: The LU decomposition of the given matrix A, in the form   The permutation matrix    is:

Q: 1 - 2 3 - 4 If T is defined by T(x) = Ax, find a vector x whose image under T is b, and determine…

A: We are authorized to answer one question at a time, since you have not mentioned which question you…

Q: Diagonalize the following matrix: 21 0 4 - 1 -4 3 1 - 1 400 0 1 0 00-2 not diagonalization 40 0 02 0…

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Q: Evaluate the element a23 in the matrix A given by: a11 a12 a13 a21 €22 a23 a31 a32 A = where: A = BC…

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Q: Find matrices P, D, and P-1 that diagonalize matrix A, where A P- D P-1 62 88 -48-68,

A: Sol:- A matrix A can be diagonalized if there exists an invertible matrix P and diagonal matrix D…