Virtual lab on Linear Algebra
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1. Euclidean space as a vector space. |
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2. Subspace of a vector space. |
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3. Linear combination and span. |
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4. Linear independence, basis, dimension and co-ordinates. |
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5. Linear transformations and their connection with matrices. |
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6. Rank and nullity of linear transformations and matrices |
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7. Linear map equation and its solution. |
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8. Solution of system of linear equations using linear map equation. |
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9. Eigen values, eigen vectors and diagonalization. |
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10. Application to ordinary linear differential equations and engineering problems. |