Suppose there is a basis a of R2, for which the system |[T]-AI|=0 has one, and only one, real solution. TR2 → R² is necessarily non- diagonalizable. The set of vectors associated with a certain eigenvalue is a vector space. Every linear transformation has eigenvectors.

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A: To discuss: The Ridder's method for solving nonlinear equations.  

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A: Option D 11.1

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A: These question related to matrix determinant and row echelon form.solution is given below

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A: This is a problem of Differential Calculus.

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Q: 1. Use the Root Test to determine if the series (-1)" 2/m en? (2n2 – 1)n n=1 -

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Q: Find the determinant by row reduction to echelon form. 1 1 9 6 1 -7 3 - 1 0 - 8 4 4 -4 30 0

A: 1-19601-73-10-844-4300R3  →R3+ R1,   R4 → R4 - 4 R11-19601-730-111000-6-24

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Q: dy dx take 2. Solve xy +1 with ycu) = 1 for finding yo.075) %3D h=0-025

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A: Given the graph of function is defined on R and discontinuous at 0 and 4.

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A: This is a problem of Logic.

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