4) Solve the following linear system or indicate the nonexistence of solution. X1 - 2x2 + 5x3 - 3x4 = 0 -3x1 + 6x2 + x3 + x4 = 0 2x1 - 4x2 + 3x3 - x4 = 3 5) Find the eigenvalues and eigenvectors of the following matrix. (0 € R) [cos 0 sin e Isin 0 -cos 0 cos el

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A: Note: " As per our guidelines we will solve only first question . If you want any specific question…

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