Considering matrixA = [11 −5 −2 10] (a) Compute singular values for A (b) Compute the SVD for A (c) Given A = UΣV^T, prove if A is invertible, then A^−1 =V Σ^(−1)(U^T) (d) Use the above to find singular values for A^-1

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Differential Equations

Have you ever observed the movement of the satellites and rockets or how the planets go around the sun in their orbits? How will you determine their motion? Definitely they follow some scientific laws and these kinds of problems are framed as differential equations.