Let 3 4. 3. A = -3 -5 -3 and B -4 -6 -3 3 3 1 3 3 1 For this problem, you may use the fact that both matrices have the same characteristic polynomial: PA(A) = PB(A) = -( – 1)(A+ 2)°. (a) Find all eigenvectors of A. (b) Find all eigenvectors of B. (c) Which matrix A or Bis diagonalizable?

Q: 1. Calculate exp(A) where A is the 2×2 matrix given by A 7 -2 -[33] = 5 5

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Q: For each of the following, factor the matrix A into a product QDQ" where Q is orthogonal and D is…

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Q: a) For invertible matrices A, BER"Xn, show that ((AB)")- = (A-)"(B)".

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Q: 2. Assume that all the operations are properly defined, solve the following equation for the unknown…

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Q: the matrIX A into a product QDQ" where Q is orthogonal and D is diagonal.

A: Given,          A=-5-1-1-1-3-1-1-1-3

Q: Suppose A and B are invertible 1 x n matrices. Check all the true statements below. ABB÷¹A = AI„ A =…

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Q: Use the given definition to find f(A): If f(x) = a, + a,x + a,x2 + ... + a,x" is a polynomial…

A: We have to find f(A).

Q: This is a linear algebra problem pretaining to matrix. Please find the cofactor C11(A), C12(A),…

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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: a- B-2 3] and Given matrices Find CAB 3

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Q: Q3A. Compute b11 for the inverse matrix B-¹. B O - 2 -5 2 -6 -3 12/07 -1 1 3 12/07

A: B-1 can be calculated by calculating determinant of a matrix and then dividing adjoint of the matrix…

Q: Write f= x + 10x1x2 + x3 as a difference of squares, and f= x? + 10x,x2 + 30x as a sum of squares.…

A: Given f=x12+10x1x2+x22.  Let the associated matrix of f be A=abba is 2×2 symmetric matrix. Then,…

Q: Let A be a 2 x 2 matrix a If ad – bc + 0, then A-1 ad-be ad-be ad-e ad-be. such that [1 AA-1 = A-'A…

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Q: 2 B= [11] 3 -1 Write B and B-¹ as products of elementary matrices.

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Q: Find the inverse matrix where A = 1 -1 2 -3 -3 1 2 -3 -3

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Q: Show that the matrix TR2 is the inverse matrix of (R-1)²T-1.

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Q: Find the inverse of the matrix, if it exists. A = Cmatrix ((0 -1)(-3 6)) Select one: [-1 0 O B. -1…

A: To find inverse of the matrix.

Q: Give the inverse of the 2x2 matrix [1 2] [1 1]

A: Inverse of matrix

Q: The matrix A = (13¹) is closely related to the imaginary number i. (a) Calculate A², A³, A4,…

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