Linear Algebra
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Singular Value Decomposition can be used for image compression.
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The determinant of a matrix indicates how much the area would change if the matrix were applied to a shape.
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The eigenvalues are defined by the equation [ \det(\lambda I - A) = 0 ].
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NumPy’s
linalg
package can be used to study and solve problems in linear algebra. -
Use linear algebra transforms in n-dimensional space to understand matrices.
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A matrix is a group of numbers arranged in rows and columns.
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The equation [ Ax = B ] has a solution when [ \text{rank}(A) = \text{rank}(B) ].
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The rank of a matrix is the number of linearly independent rows (or columns) in its echelon form.