Find the eigenvalues A1 < A2 and associated unit eigenvectors ü1, ủg of the symmetric matrix 7 61 A -2.

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Q: 1940 1950 1960 1970 1980 1990 132,165 151, 326 179, 323 203,302 226,542 249,633 e population in year…

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Q: Fined all eigen values and eigen vectors of the matrix and check that P'ẠP is diagonal matrix 8 - 8…

A: Solve A-λI=0 to find the Eigen values.

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Q: Consider the IVP: x" + 3x' +2x = 4t2; x(0) = 0, x'(0) = 0. Find the general solution. 4 6. 7 + s+1 8…

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Q: Q5) Find volume of body bounded by z = x-y from below and z = x + y from Above inside y = x² ,y 2.

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Q: Find the Maclaurin series representation for each of the following functions. For each series: i.…

A: Given : (a) f(x) = (1-2x)34 To find :  To find the Maclaurin series expansion of the given function.

Q: #15. aib are liearly indepandant vectors in IR? Let F= Span faib, 2ar3b}. Then the dmensian of A) I…

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Q: If two dice are rolled, find the probability ofshowing a sum of 7 or 11 ? O 1/18 O 7/36 1/4 O 2/9

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Q: Number

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Q: A22. Z is a Tx7 natrx and it has exactly 3 eiganvalves: l,4 and 5. If E1, Ey and Es are of the Same…

A: Given a 7x7 matrix with 3 eigenvalues 1, 4 and 5, and dimensions of each eigenspace is same.

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Q: Q9. Find the equation of the tangent plane to f(x, y) = x ln(y) +x²y+3 at the point (x, y) = (2, 1).…

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Q: at a unit-speed regular parametrised curve 3: (-7, 7)→ R² with T, N) has constant curvature k> 0.…

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Q: Exercise 94. Evaluate ſcF dr where F(x,y)= xi- yj and C is the line r(t) = (1 -1, t), 0<I<1. If a…

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Q: Solve for the 4th determinant. (You can use any method)

A: The given 4th determinant is solved as shown below.

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Q: (x – 2)? – In x = 0, [1,2]

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Q: Find the eigenvalues A1 < A, and associated unit eigenvectors ū1, ū2 of the symmetric matrix 6 A 6…

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Q: Find a basis and the dimension of each of the following subspaces of R" a. W1 = v: u + v = 0 and u…

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Q: OnCourse Connect To do | Great Minds Digital x My Apps sources a…

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Q: tion z2 – (x2 + y2)2 and let p = (0, 0, 0). ermine the set Tp(Zf ) of all tangent prs to Zf at p. Is…

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Q: The algebra teacher wrote on a blackboard a quadratic equation of the form x2-Ax +B = 0. In copying…

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Q: y = exlnx

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Q: 1000, 000, 2001}} 4. Let X be the set comprising all numbers of the following two types: • Natural…

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