Given matrix A = [ 1 0 0 0 1 4 1 0 2 ] a) Find the eigenvalues for the matrix A b) Find corresponding eigenvectors for each eigenvalue of the matrix A

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A: Given: system of linear equations:   To determine: The solution of given system of linear equations

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Q: 3. (a) Find the determinant of the matrix A below. 1 0 -1 0 0 1 1 0 -1 A =

A: The detailed solution is given below Thank you

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A: The given equation is:23x-2-8=-6We need to solve the above equation.

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A: We can simplify the expression in the folowing steps

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Q: 25 x2 – 5x + 6 Simplify: x2 + 3x 10 x2 20 - -

A: Solution is given below:

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A: U=1,2,3,4,5,6A=1,2,3   B=2,3,4C=1,5

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A: Please see the below picture for solution.

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A: Option C t=kqr/s

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A: according to our guidelines we can solve only first three questionssolution:-(1)…

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