Solve the system Ÿ' = AŸ + Ğ for A = and Ĝ = 5z 3 as follows: (a) Verify that A is similar to B= with similarity matrix P = (b) Find a fundamental matrix MB of solutions to the equation Z' = BŽ (c) Find a fundamental matrix MA of solutions to Ÿ = AỸ

Q: find the inverse matrix

A: As per the question, we have to form a 3×3 matrix, given the unique symmetrical elements of YBUS(s)…

Q: 10. It is known that matrix A 4x4 has the following eigenvalues: 2, =-2, 2, = 1, z =-1, 24 = 2.…

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Q: For the matrix A, find (if possible) a nonsingular matrix P such that P-'AP is diagonal. (If not…

A: We have to diagnolize the matrix A.

Q: Find an orthogonal matrix whose first row is (1/3,2/3,2/3)

A: The rows of an orthogonal matrix forms an orthonormal basis. Therefore, consider the extended basis,

Q: 8. 3 a) Let A = ( 6 1 3 ,B = 6 -2/ %3D 1 Then find the matrix AB. -4 -1

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Q: Given the matrix      A=       [4 -1   0   2] , then the trace of A^3 is?

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Q: Consider A = 21 2 1 3 -1 -3 4 Convert A to an upper triangular matrix U by using Gaussian…

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Q: [1 2) 13 · X = 2-

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Q: Determine the matrix A x 1, if A=(13) and 1=(9)=

A: Given A=-1043,     I=1001   To determine: the matrix A×I

Q: Express the quadratic equation 2x2 + 4xy + 7x – 2y + 8 = 0, in the matrix form x" Ax + Kx +f = 0,…

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Q: image1

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Q: Use the following simultaneous equations to answer questions 8 and 9: -X1 + 2X2 + 4Хз %3D -3 4X1 –…

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Q: If the matrix A= [2 5 1;7 3 6;2 5 4], find: A' A(2,3) size(A) LA(:,2)=[] Inv(A)

A: We can solve this as follows:

Q: Express the quadratic equation in the matrix form x Ax + Kx + f = 0, where a Ax is the associated…

A: The given quadratic expression is .We need to convert this quadratic in the form .

Q: Find a 3 x 3 matrix A whose -4-eigenspace is and whose 3-eigenspace is A = V = {(x, y, z) in R³ |…

A: To Find: a 3×3 matrix whose 4-eigenspace is V=x, y, z in ℝ3 | -8x-14y+10z=0 and whose 3-eigenspace…

Q: what is the x on this matrix; Ax(D+Bx)^-1 = C

A: Using matrix multiplication,

Q: Use a matrix to solve x - y + z = 5x + y + z = 3x + y - z = -7A) (-1, -1, 5) B) (5, -1, -1) C) (-1,…

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Q: 3x + 2y + 7z = 4 2x + 3y + z = 5 3x + 4y + z = 7

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Q: A) Find the eigenbasis of the matrix and diagonalize it (if possible): when p=4. Also, Use this…

A: Given: A=4ppp101p16 finding the eigen values of the matrix A A-λI=0 4-λ44410-λ1416-λ=0   given p=4…