Consider the following matrix: |1 2 0 A = 2 4 3 5 3 3 6 3 6 6 1 3 (a) Find a basis for the Rowspace(A). Then state the dimension of the Rowspace(A). (b) Find a basis for the Colspace(A). Then state the dimension of the Colspace(A). (c) Find a basis for the Nullspace(A). Then state the dimension of the Nullspace(A).

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A: We see,        So, Determinant of A = |A| = 4×4 - (-3)×4                                        = 16…

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A: Topic - differential Equation We will solve this equation by variable separation method

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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.