Consider the following matrix: A = -1 0 41 3 1 1 3 2 4] A)...

 

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Consider the following matrix: A = -1 0 41 3 1 1 3 2 4] A) Write the polynomial equation that needs to be solved to derive eigenvalues of matrix A. Subsequently, solve the nonlinear equation and report the eigenvalues of A. You can use method of your choice (including MATLAB built-in functions) to solve the nonlinear equation, as long as you include any code you used. B) Decompose matrix A, into an orthogonal (Q) and an upper-triangular (R) matrix by hand. Include all steps and equations you use. Verify if Q times R equals A. Consider the following matrix: A = -1 0 41 3 1 1 3 2 4] A) Write the polynomial equation that needs to be solved to derive eigenvalues of matrix A. Subsequently, solve the nonlinear equation and report the eigenvalues of A. You can use method of your choice (including MATLAB built-in functions) to solve the nonlinear equation, as long as you include any code you used. B) Decompose matrix A, into an orthogonal (Q) and an upper-triangular (R) matrix by hand. Include all steps and equations you use. Verify if Q times R equals A.